GCF and LCM Calculator Logo

What is the Least Common Multiple of 6620 and 6635?

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 6620 and 6635 is 8784740.

LCM(6620,6635) = 8784740

LCM Calculator and
and

Least Common Multiple of 6620 and 6635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6620 and 6635, than apply into the LCM equation.

GCF(6620,6635) = 5
LCM(6620,6635) = ( 6620 × 6635) / 5
LCM(6620,6635) = 43923700 / 5
LCM(6620,6635) = 8784740

Least Common Multiple (LCM) of 6620 and 6635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6620 and 6635. First we will calculate the prime factors of 6620 and 6635.

Prime Factorization of 6620

Prime factors of 6620 are 2, 5, 331. Prime factorization of 6620 in exponential form is:

6620 = 22 × 51 × 3311

Prime Factorization of 6635

Prime factors of 6635 are 5, 1327. Prime factorization of 6635 in exponential form is:

6635 = 51 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 6620 and 6635.

LCM(6620,6635) = 22 × 51 × 3311 × 13271
LCM(6620,6635) = 8784740