What is the Least Common Multiple of 92724 and 92738?

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 92724 and 92738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92724 and 92738, than apply into the LCM equation.

GCF(92724,92738) = 2
LCM(92724,92738) = ( 92724 × 92738) / 2
LCM(92724,92738) = 8599038312 / 2
LCM(92724,92738) = 4299519156

Least Common Multiple (LCM) of 92724 and 92738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92724 and 92738. First we will calculate the prime factors of 92724 and 92738.

Prime Factorization of 92724

Prime Factorization of 92738

Now multiplying the highest exponent prime factors to calculate the LCM of 92724 and 92738.

LCM(92724,92738) = 2² × 3¹ × 7727¹ × 89¹ × 521¹
LCM(92724,92738) = 4299519156