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What is the Least Common Multiple of 65717 and 65732?

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 65717 and 65732 is 4319709844.

LCM(65717,65732) = 4319709844

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Least Common Multiple of 65717 and 65732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65717 and 65732, than apply into the LCM equation.

GCF(65717,65732) = 1
LCM(65717,65732) = ( 65717 × 65732) / 1
LCM(65717,65732) = 4319709844 / 1
LCM(65717,65732) = 4319709844

Least Common Multiple (LCM) of 65717 and 65732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65717 and 65732. First we will calculate the prime factors of 65717 and 65732.

Prime Factorization of 65717

Prime factors of 65717 are 65717. Prime factorization of 65717 in exponential form is:

65717 = 657171

Prime Factorization of 65732

Prime factors of 65732 are 2, 16433. Prime factorization of 65732 in exponential form is:

65732 = 22 × 164331

Now multiplying the highest exponent prime factors to calculate the LCM of 65717 and 65732.

LCM(65717,65732) = 657171 × 22 × 164331
LCM(65717,65732) = 4319709844