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What is the Least Common Multiple of 64418 and 64422?

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 64418 and 64422 is 2074968198.

LCM(64418,64422) = 2074968198

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Least Common Multiple of 64418 and 64422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64418 and 64422, than apply into the LCM equation.

GCF(64418,64422) = 2
LCM(64418,64422) = ( 64418 × 64422) / 2
LCM(64418,64422) = 4149936396 / 2
LCM(64418,64422) = 2074968198

Least Common Multiple (LCM) of 64418 and 64422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64418 and 64422. First we will calculate the prime factors of 64418 and 64422.

Prime Factorization of 64418

Prime factors of 64418 are 2, 31, 1039. Prime factorization of 64418 in exponential form is:

64418 = 21 × 311 × 10391

Prime Factorization of 64422

Prime factors of 64422 are 2, 3, 1193. Prime factorization of 64422 in exponential form is:

64422 = 21 × 33 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 64418 and 64422.

LCM(64418,64422) = 21 × 311 × 10391 × 33 × 11931
LCM(64418,64422) = 2074968198