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What is the Least Common Multiple of 64939 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 64939 and 64946 is 602504042.

LCM(64939,64946) = 602504042

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Least Common Multiple of 64939 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 64939 and 64946, than apply into the LCM equation.

GCF(64939,64946) = 7
LCM(64939,64946) = ( 64939 × 64946) / 7
LCM(64939,64946) = 4217528294 / 7
LCM(64939,64946) = 602504042

Least Common Multiple (LCM) of 64939 and 64946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64939 and 64946. First we will calculate the prime factors of 64939 and 64946.

Prime Factorization of 64939

Prime factors of 64939 are 7, 9277. Prime factorization of 64939 in exponential form is:

64939 = 71 × 92771

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 64939 and 64946.

LCM(64939,64946) = 71 × 92771 × 21 × 46391
LCM(64939,64946) = 602504042