What is the Least Common Multiple of 28736 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 of 28736 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 28736 and 28752, than apply into the LCM equation.

GCF(28736,28752) = 16
LCM(28736,28752) = ( 28736 × 28752) / 16
LCM(28736,28752) = 826217472 / 16
LCM(28736,28752) = 51638592

Least Common Multiple (LCM) of 28736 and 28752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28736 and 28752. First we will calculate the prime factors of 28736 and 28752.

Prime Factorization of 28736

Prime Factorization of 28752

Now multiplying the highest exponent prime factors to calculate the LCM of 28736 and 28752.

LCM(28736,28752) = 2⁶ × 449¹ × 3¹ × 599¹
LCM(28736,28752) = 51638592