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What is the Least Common Multiple of 64946 and 64957?

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 64946 and 64957 is 4218697322.

LCM(64946,64957) = 4218697322

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Least Common Multiple of 64946 and 64957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64946 and 64957, than apply into the LCM equation.

GCF(64946,64957) = 1
LCM(64946,64957) = ( 64946 × 64957) / 1
LCM(64946,64957) = 4218697322 / 1
LCM(64946,64957) = 4218697322

Least Common Multiple (LCM) of 64946 and 64957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64946 and 64957. First we will calculate the prime factors of 64946 and 64957.

Prime Factorization of 64946

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

64946 = 21 × 71 × 46391

Prime Factorization of 64957

Prime factors of 64957 are 17, 3821. Prime factorization of 64957 in exponential form is:

64957 = 171 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 64946 and 64957.

LCM(64946,64957) = 21 × 71 × 46391 × 171 × 38211
LCM(64946,64957) = 4218697322