GCF and LCM Calculator Logo

What is the Least Common Multiple of 6660 and 6677?

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 6660 and 6677 is 44468820.

LCM(6660,6677) = 44468820

LCM Calculator and
and

Least Common Multiple of 6660 and 6677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6660 and 6677, than apply into the LCM equation.

GCF(6660,6677) = 1
LCM(6660,6677) = ( 6660 × 6677) / 1
LCM(6660,6677) = 44468820 / 1
LCM(6660,6677) = 44468820

Least Common Multiple (LCM) of 6660 and 6677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6660 and 6677. First we will calculate the prime factors of 6660 and 6677.

Prime Factorization of 6660

Prime factors of 6660 are 2, 3, 5, 37. Prime factorization of 6660 in exponential form is:

6660 = 22 × 32 × 51 × 371

Prime Factorization of 6677

Prime factors of 6677 are 11, 607. Prime factorization of 6677 in exponential form is:

6677 = 111 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 6660 and 6677.

LCM(6660,6677) = 22 × 32 × 51 × 371 × 111 × 6071
LCM(6660,6677) = 44468820