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Other Intangible Assets
12 Months Ended
Dec. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Other Intangible Assets OTHER INTANGIBLE ASSETS
The following is a summary of Linde’s other intangible assets at December 31, 2023 and 2022:  
(Millions of dollars) For the year ended December 31, 2023Customer RelationshipsBrands/TradenamesOther Intangible AssetsTotal
Cost:
Balance, December 31, 2022$11,062 $2,565 $1,697 $15,324 
Additions 258 50 314 
Foreign currency translation185 38 41 264 
Disposals(3)— (20)(23)
Other *(23)— 145 122 
Balance, December 31, 202311,479 2,609 1,913 16,001 
Less: accumulated amortization:
Balance, December 31, 2022(1,841)(196)(867)(2,904)
Amortization expense (Note 7)(423)(36)(91)(550)
Foreign currency translation(36)(1)(24)(61)
Disposals— — 21 21 
Other *30 — (138)(108)
Balance, December 31, 2023(2,270)(233)(1,099)(3,602)
Net balance at December 31, 2023$9,209 $2,376 $814 $12,399 
(Millions of dollars) For the year ended December 31, 2022Customer RelationshipsBrands/TradenamesOther Intangible AssetsTotal
Cost:
Balance, December 31, 2021$11,859 $2,685 $1,629 $16,173 
Additions 19 — 53 72 
Foreign currency translation(660)(120)(56)(836)
Disposals (Note 2)(140)— (45)(185)
Other *(16)— 116 100 
Balance, December 31, 202211,062 2,565 1,697 15,324 
Less: accumulated amortization:
Balance, December 31, 2021(1,541)(159)(671)(2,371)
Amortization expense (Note 7)(419)(42)(110)(571)
Foreign currency translation80 13 98 
Disposals (Note 2)34 — 16 50 
Other *— (115)(110)
Balance, December 31, 2022(1,841)(196)(867)(2,904)
Net balance at December 31, 2022$9,221 $2,369 $830 $12,420 

*Other primarily relates to the write-off of fully amortized assets and reclassifications.
There are no expected residual values related to these intangible assets. Amortization expense for the years ended December 31, 2023, 2022 and 2021 was $550 million, $571 million and $723 million, respectively. The remaining weighted-average amortization period for intangible assets is approximately 24 years.
Total estimated annual amortization expense related to finite-lived intangibles is as follows: 
(Millions of dollars) 
2024$578 
2025528 
2026516 
2027505 
2028492 
Thereafter8,035 
Total amortization related to finite-lived intangible assets10,654 
Indefinite-lived intangible assets at December 31, 2023
1,745 
Net intangible assets at December 31, 2023
$12,399