GCF and LCM Calculator Logo

What is the Least Common Multiple of 36716 and 36720?

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 36716 and 36720 is 337052880.

LCM(36716,36720) = 337052880

LCM Calculator and
and

Least Common Multiple of 36716 and 36720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36716 and 36720, than apply into the LCM equation.

GCF(36716,36720) = 4
LCM(36716,36720) = ( 36716 × 36720) / 4
LCM(36716,36720) = 1348211520 / 4
LCM(36716,36720) = 337052880

Least Common Multiple (LCM) of 36716 and 36720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36716 and 36720. First we will calculate the prime factors of 36716 and 36720.

Prime Factorization of 36716

Prime factors of 36716 are 2, 67, 137. Prime factorization of 36716 in exponential form is:

36716 = 22 × 671 × 1371

Prime Factorization of 36720

Prime factors of 36720 are 2, 3, 5, 17. Prime factorization of 36720 in exponential form is:

36720 = 24 × 33 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 36716 and 36720.

LCM(36716,36720) = 24 × 671 × 1371 × 33 × 51 × 171
LCM(36716,36720) = 337052880