What is the Least Common Multiple of 28758 and 28774?

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 28774 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 28774, than apply into the LCM equation.

GCF(28758,28774) = 2
LCM(28758,28774) = ( 28758 × 28774) / 2
LCM(28758,28774) = 827482692 / 2
LCM(28758,28774) = 413741346

Least Common Multiple (LCM) of 28758 and 28774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28758 and 28774. First we will calculate the prime factors of 28758 and 28774.

Prime Factorization of 28758

Prime Factorization of 28774

Now multiplying the highest exponent prime factors to calculate the LCM of 28758 and 28774.

LCM(28758,28774) = 2¹ × 3¹ × 4793¹ × 14387¹
LCM(28758,28774) = 413741346