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What is the Least Common Multiple of 4627 and 4637?

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 4627 and 4637 is 21455399.

LCM(4627,4637) = 21455399

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Least Common Multiple of 4627 and 4637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4627 and 4637, than apply into the LCM equation.

GCF(4627,4637) = 1
LCM(4627,4637) = ( 4627 × 4637) / 1
LCM(4627,4637) = 21455399 / 1
LCM(4627,4637) = 21455399

Least Common Multiple (LCM) of 4627 and 4637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4627 and 4637. First we will calculate the prime factors of 4627 and 4637.

Prime Factorization of 4627

Prime factors of 4627 are 7, 661. Prime factorization of 4627 in exponential form is:

4627 = 71 × 6611

Prime Factorization of 4637

Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:

4637 = 46371

Now multiplying the highest exponent prime factors to calculate the LCM of 4627 and 4637.

LCM(4627,4637) = 71 × 6611 × 46371
LCM(4627,4637) = 21455399