GCF and LCM Calculator Logo

What is the Least Common Multiple of 28756 and 28760?

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 28756 and 28760 is 206755640.

LCM(28756,28760) = 206755640

LCM Calculator and
and

Least Common Multiple of 28756 and 28760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28756 and 28760, than apply into the LCM equation.

GCF(28756,28760) = 4
LCM(28756,28760) = ( 28756 × 28760) / 4
LCM(28756,28760) = 827022560 / 4
LCM(28756,28760) = 206755640

Least Common Multiple (LCM) of 28756 and 28760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28756 and 28760. First we will calculate the prime factors of 28756 and 28760.

Prime Factorization of 28756

Prime factors of 28756 are 2, 7, 13, 79. Prime factorization of 28756 in exponential form is:

28756 = 22 × 71 × 131 × 791

Prime Factorization of 28760

Prime factors of 28760 are 2, 5, 719. Prime factorization of 28760 in exponential form is:

28760 = 23 × 51 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 28756 and 28760.

LCM(28756,28760) = 23 × 71 × 131 × 791 × 51 × 7191
LCM(28756,28760) = 206755640