What is the Least Common Multiple of 94932 and 94937?
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 94932 and 94937 is 9012559284.
LCM(94932,94937) = 9012559284
Least Common Multiple of 94932 and 94937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94932 and 94937, than apply into the LCM equation.
GCF(94932,94937) = 1
LCM(94932,94937) = ( 94932 × 94937) / 1
LCM(94932,94937) = 9012559284 / 1
LCM(94932,94937) = 9012559284
Least Common Multiple (LCM) of 94932 and 94937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94932 and 94937. First we will calculate the prime factors of 94932 and 94937.
Prime Factorization of 94932
Prime factors of 94932 are 2, 3, 293. Prime factorization of 94932 in exponential form is:
94932 = 22 × 34 × 2931
Prime Factorization of 94937
Prime factors of 94937 are 139, 683. Prime factorization of 94937 in exponential form is:
94937 = 1391 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 94932 and 94937.
LCM(94932,94937) = 22 × 34 × 2931 × 1391 × 6831
LCM(94932,94937) = 9012559284
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