GCF and LCM Calculator Logo

What is the Least Common Multiple of 6629 and 6640?

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 6629 and 6640 is 44016560.

LCM(6629,6640) = 44016560

LCM Calculator and
and

Least Common Multiple of 6629 and 6640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6629 and 6640, than apply into the LCM equation.

GCF(6629,6640) = 1
LCM(6629,6640) = ( 6629 × 6640) / 1
LCM(6629,6640) = 44016560 / 1
LCM(6629,6640) = 44016560

Least Common Multiple (LCM) of 6629 and 6640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6629 and 6640. First we will calculate the prime factors of 6629 and 6640.

Prime Factorization of 6629

Prime factors of 6629 are 7, 947. Prime factorization of 6629 in exponential form is:

6629 = 71 × 9471

Prime Factorization of 6640

Prime factors of 6640 are 2, 5, 83. Prime factorization of 6640 in exponential form is:

6640 = 24 × 51 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 6629 and 6640.

LCM(6629,6640) = 71 × 9471 × 24 × 51 × 831
LCM(6629,6640) = 44016560