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What is the Least Common Multiple of 64929 and 64942?

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 64929 and 64942 is 4216619118.

LCM(64929,64942) = 4216619118

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Least Common Multiple of 64929 and 64942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64929 and 64942, than apply into the LCM equation.

GCF(64929,64942) = 1
LCM(64929,64942) = ( 64929 × 64942) / 1
LCM(64929,64942) = 4216619118 / 1
LCM(64929,64942) = 4216619118

Least Common Multiple (LCM) of 64929 and 64942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64929 and 64942. First we will calculate the prime factors of 64929 and 64942.

Prime Factorization of 64929

Prime factors of 64929 are 3, 23, 941. Prime factorization of 64929 in exponential form is:

64929 = 31 × 231 × 9411

Prime Factorization of 64942

Prime factors of 64942 are 2, 19, 1709. Prime factorization of 64942 in exponential form is:

64942 = 21 × 191 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 64929 and 64942.

LCM(64929,64942) = 31 × 231 × 9411 × 21 × 191 × 17091
LCM(64929,64942) = 4216619118