GCF and LCM Calculator Logo

What is the Least Common Multiple of 66712 and 66724?

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 66712 and 66724 is 1112822872.

LCM(66712,66724) = 1112822872

LCM Calculator and
and

Least Common Multiple of 66712 and 66724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66712 and 66724, than apply into the LCM equation.

GCF(66712,66724) = 4
LCM(66712,66724) = ( 66712 × 66724) / 4
LCM(66712,66724) = 4451291488 / 4
LCM(66712,66724) = 1112822872

Least Common Multiple (LCM) of 66712 and 66724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66712 and 66724. First we will calculate the prime factors of 66712 and 66724.

Prime Factorization of 66712

Prime factors of 66712 are 2, 31, 269. Prime factorization of 66712 in exponential form is:

66712 = 23 × 311 × 2691

Prime Factorization of 66724

Prime factors of 66724 are 2, 7, 2383. Prime factorization of 66724 in exponential form is:

66724 = 22 × 71 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 66712 and 66724.

LCM(66712,66724) = 23 × 311 × 2691 × 71 × 23831
LCM(66712,66724) = 1112822872