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What is the Least Common Multiple of 6631 and 6638?

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 6631 and 6638 is 44016578.

LCM(6631,6638) = 44016578

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Least Common Multiple of 6631 and 6638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6631 and 6638, than apply into the LCM equation.

GCF(6631,6638) = 1
LCM(6631,6638) = ( 6631 × 6638) / 1
LCM(6631,6638) = 44016578 / 1
LCM(6631,6638) = 44016578

Least Common Multiple (LCM) of 6631 and 6638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6631 and 6638. First we will calculate the prime factors of 6631 and 6638.

Prime Factorization of 6631

Prime factors of 6631 are 19, 349. Prime factorization of 6631 in exponential form is:

6631 = 191 × 3491

Prime Factorization of 6638

Prime factors of 6638 are 2, 3319. Prime factorization of 6638 in exponential form is:

6638 = 21 × 33191

Now multiplying the highest exponent prime factors to calculate the LCM of 6631 and 6638.

LCM(6631,6638) = 191 × 3491 × 21 × 33191
LCM(6631,6638) = 44016578