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What is the Least Common Multiple of 64651 and 64656?

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 64651 and 64656 is 4180075056.

LCM(64651,64656) = 4180075056

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Least Common Multiple of 64651 and 64656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64651 and 64656, than apply into the LCM equation.

GCF(64651,64656) = 1
LCM(64651,64656) = ( 64651 × 64656) / 1
LCM(64651,64656) = 4180075056 / 1
LCM(64651,64656) = 4180075056

Least Common Multiple (LCM) of 64651 and 64656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64651 and 64656. First we will calculate the prime factors of 64651 and 64656.

Prime Factorization of 64651

Prime factors of 64651 are 17, 3803. Prime factorization of 64651 in exponential form is:

64651 = 171 × 38031

Prime Factorization of 64656

Prime factors of 64656 are 2, 3, 449. Prime factorization of 64656 in exponential form is:

64656 = 24 × 32 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 64651 and 64656.

LCM(64651,64656) = 171 × 38031 × 24 × 32 × 4491
LCM(64651,64656) = 4180075056