What is the Least Common Multiple of 28758 and 28764?

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 28758 and 28764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28758 and 28764, than apply into the LCM equation.

GCF(28758,28764) = 6
LCM(28758,28764) = ( 28758 × 28764) / 6
LCM(28758,28764) = 827195112 / 6
LCM(28758,28764) = 137865852

Least Common Multiple (LCM) of 28758 and 28764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28758 and 28764. First we will calculate the prime factors of 28758 and 28764.

Prime Factorization of 28758

Prime Factorization of 28764

Now multiplying the highest exponent prime factors to calculate the LCM of 28758 and 28764.

LCM(28758,28764) = 2² × 3² × 4793¹ × 17¹ × 47¹
LCM(28758,28764) = 137865852