GCF and LCM Calculator Logo

What is the Least Common Multiple of 28746 and 28752?

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 28746 and 28752 is 137750832.

LCM(28746,28752) = 137750832

LCM Calculator and
and

Least Common Multiple of 28746 and 28752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28746 and 28752, than apply into the LCM equation.

GCF(28746,28752) = 6
LCM(28746,28752) = ( 28746 × 28752) / 6
LCM(28746,28752) = 826504992 / 6
LCM(28746,28752) = 137750832

Least Common Multiple (LCM) of 28746 and 28752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28746 and 28752. First we will calculate the prime factors of 28746 and 28752.

Prime Factorization of 28746

Prime factors of 28746 are 2, 3, 1597. Prime factorization of 28746 in exponential form is:

28746 = 21 × 32 × 15971

Prime Factorization of 28752

Prime factors of 28752 are 2, 3, 599. Prime factorization of 28752 in exponential form is:

28752 = 24 × 31 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 28746 and 28752.

LCM(28746,28752) = 24 × 32 × 15971 × 5991
LCM(28746,28752) = 137750832