What is the Least Common Multiple of 34032 and 34038?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 34032 and 34038 is 193063536.
LCM(34032,34038) = 193063536
Least Common Multiple of 34032 and 34038 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34032 and 34038, than apply into the LCM equation.
GCF(34032,34038) = 6
LCM(34032,34038) = ( 34032 × 34038) / 6
LCM(34032,34038) = 1158381216 / 6
LCM(34032,34038) = 193063536
Least Common Multiple (LCM) of 34032 and 34038 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34032 and 34038. First we will calculate the prime factors of 34032 and 34038.
Prime Factorization of 34032
Prime factors of 34032 are 2, 3, 709. Prime factorization of 34032 in exponential form is:
34032 = 24 × 31 × 7091
Prime Factorization of 34038
Prime factors of 34038 are 2, 3, 31, 61. Prime factorization of 34038 in exponential form is:
34038 = 21 × 32 × 311 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 34032 and 34038.
LCM(34032,34038) = 24 × 32 × 7091 × 311 × 611
LCM(34032,34038) = 193063536
Related Least Common Multiples of 34032
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Related Least Common Multiples of 34038
- LCM of 34038 and 34042
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- LCM of 34038 and 34048
- LCM of 34038 and 34049
- LCM of 34038 and 34050
- LCM of 34038 and 34051
- LCM of 34038 and 34052
- LCM of 34038 and 34053
- LCM of 34038 and 34054
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