GCF and LCM Calculator Logo

What is the Least Common Multiple of 6644 and 6660?

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 6644 and 6660 is 11062260.

LCM(6644,6660) = 11062260

LCM Calculator and
and

Least Common Multiple of 6644 and 6660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6644 and 6660, than apply into the LCM equation.

GCF(6644,6660) = 4
LCM(6644,6660) = ( 6644 × 6660) / 4
LCM(6644,6660) = 44249040 / 4
LCM(6644,6660) = 11062260

Least Common Multiple (LCM) of 6644 and 6660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6644 and 6660. First we will calculate the prime factors of 6644 and 6660.

Prime Factorization of 6644

Prime factors of 6644 are 2, 11, 151. Prime factorization of 6644 in exponential form is:

6644 = 22 × 111 × 1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6644 and 6660.

LCM(6644,6660) = 22 × 111 × 1511 × 32 × 51 × 371
LCM(6644,6660) = 11062260