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What is the Least Common Multiple of 6625 and 6637?

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 6625 and 6637 is 43970125.

LCM(6625,6637) = 43970125

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Least Common Multiple of 6625 and 6637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6625 and 6637, than apply into the LCM equation.

GCF(6625,6637) = 1
LCM(6625,6637) = ( 6625 × 6637) / 1
LCM(6625,6637) = 43970125 / 1
LCM(6625,6637) = 43970125

Least Common Multiple (LCM) of 6625 and 6637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6625 and 6637. First we will calculate the prime factors of 6625 and 6637.

Prime Factorization of 6625

Prime factors of 6625 are 5, 53. Prime factorization of 6625 in exponential form is:

6625 = 53 × 531

Prime Factorization of 6637

Prime factors of 6637 are 6637. Prime factorization of 6637 in exponential form is:

6637 = 66371

Now multiplying the highest exponent prime factors to calculate the LCM of 6625 and 6637.

LCM(6625,6637) = 53 × 531 × 66371
LCM(6625,6637) = 43970125