GCF and LCM Calculator Logo

What is the Least Common Multiple of 3717 and 3728?

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 3717 and 3728 is 13856976.

LCM(3717,3728) = 13856976

LCM Calculator and
and

Least Common Multiple of 3717 and 3728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3717 and 3728, than apply into the LCM equation.

GCF(3717,3728) = 1
LCM(3717,3728) = ( 3717 × 3728) / 1
LCM(3717,3728) = 13856976 / 1
LCM(3717,3728) = 13856976

Least Common Multiple (LCM) of 3717 and 3728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3717 and 3728. First we will calculate the prime factors of 3717 and 3728.

Prime Factorization of 3717

Prime factors of 3717 are 3, 7, 59. Prime factorization of 3717 in exponential form is:

3717 = 32 × 71 × 591

Prime Factorization of 3728

Prime factors of 3728 are 2, 233. Prime factorization of 3728 in exponential form is:

3728 = 24 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3717 and 3728.

LCM(3717,3728) = 32 × 71 × 591 × 24 × 2331
LCM(3717,3728) = 13856976