What is the Least Common Multiple of 28724 and 28738?

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 28724 and 28738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28724 and 28738, than apply into the LCM equation.

GCF(28724,28738) = 2
LCM(28724,28738) = ( 28724 × 28738) / 2
LCM(28724,28738) = 825470312 / 2
LCM(28724,28738) = 412735156

Least Common Multiple (LCM) of 28724 and 28738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28724 and 28738. First we will calculate the prime factors of 28724 and 28738.

Prime Factorization of 28724

Prime Factorization of 28738

Now multiplying the highest exponent prime factors to calculate the LCM of 28724 and 28738.

LCM(28724,28738) = 2² × 43¹ × 167¹ × 14369¹
LCM(28724,28738) = 412735156