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What is the Least Common Multiple of 64929 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 64929 and 64946 is 4216878834.

LCM(64929,64946) = 4216878834

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Least Common Multiple of 64929 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 64929 and 64946, than apply into the LCM equation.

GCF(64929,64946) = 1
LCM(64929,64946) = ( 64929 × 64946) / 1
LCM(64929,64946) = 4216878834 / 1
LCM(64929,64946) = 4216878834

Least Common Multiple (LCM) of 64929 and 64946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64929 and 64946. First we will calculate the prime factors of 64929 and 64946.

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 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 64929 and 64946.

LCM(64929,64946) = 31 × 231 × 9411 × 21 × 71 × 46391
LCM(64929,64946) = 4216878834