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What is the Least Common Multiple of 66631 and 66636?

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 66631 and 66636 is 4440023316.

LCM(66631,66636) = 4440023316

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Least Common Multiple of 66631 and 66636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66631 and 66636, than apply into the LCM equation.

GCF(66631,66636) = 1
LCM(66631,66636) = ( 66631 × 66636) / 1
LCM(66631,66636) = 4440023316 / 1
LCM(66631,66636) = 4440023316

Least Common Multiple (LCM) of 66631 and 66636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66631 and 66636. First we will calculate the prime factors of 66631 and 66636.

Prime Factorization of 66631

Prime factors of 66631 are 23, 2897. Prime factorization of 66631 in exponential form is:

66631 = 231 × 28971

Prime Factorization of 66636

Prime factors of 66636 are 2, 3, 617. Prime factorization of 66636 in exponential form is:

66636 = 22 × 33 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 66631 and 66636.

LCM(66631,66636) = 231 × 28971 × 22 × 33 × 6171
LCM(66631,66636) = 4440023316