What is the Least Common Multiple of 11937 and 11944?
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 11937 and 11944 is 142575528.
LCM(11937,11944) = 142575528
Least Common Multiple of 11937 and 11944 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11937 and 11944, than apply into the LCM equation.
GCF(11937,11944) = 1
LCM(11937,11944) = ( 11937 × 11944) / 1
LCM(11937,11944) = 142575528 / 1
LCM(11937,11944) = 142575528
Least Common Multiple (LCM) of 11937 and 11944 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11937 and 11944. First we will calculate the prime factors of 11937 and 11944.
Prime Factorization of 11937
Prime factors of 11937 are 3, 23, 173. Prime factorization of 11937 in exponential form is:
11937 = 31 × 231 × 1731
Prime Factorization of 11944
Prime factors of 11944 are 2, 1493. Prime factorization of 11944 in exponential form is:
11944 = 23 × 14931
Now multiplying the highest exponent prime factors to calculate the LCM of 11937 and 11944.
LCM(11937,11944) = 31 × 231 × 1731 × 23 × 14931
LCM(11937,11944) = 142575528
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