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What is the Least Common Multiple of 64936 and 64946?

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 64936 and 64946 is 2108666728.

LCM(64936,64946) = 2108666728

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Least Common Multiple of 64936 and 64946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64936 and 64946, than apply into the LCM equation.

GCF(64936,64946) = 2
LCM(64936,64946) = ( 64936 × 64946) / 2
LCM(64936,64946) = 4217333456 / 2
LCM(64936,64946) = 2108666728

Least Common Multiple (LCM) of 64936 and 64946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64936 and 64946. First we will calculate the prime factors of 64936 and 64946.

Prime Factorization of 64936

Prime factors of 64936 are 2, 8117. Prime factorization of 64936 in exponential form is:

64936 = 23 × 81171

Prime Factorization of 64946

Prime factors of 64946 are 2, 7, 4639. Prime factorization of 64946 in exponential form is:

64946 = 21 × 71 × 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 64936 and 64946.

LCM(64936,64946) = 23 × 81171 × 71 × 46391
LCM(64936,64946) = 2108666728