What is the Least Common Multiple of 92736 and 92742?

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 92736 and 92742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92736 and 92742, than apply into the LCM equation.

GCF(92736,92742) = 6
LCM(92736,92742) = ( 92736 × 92742) / 6
LCM(92736,92742) = 8600522112 / 6
LCM(92736,92742) = 1433420352

Least Common Multiple (LCM) of 92736 and 92742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92736 and 92742. First we will calculate the prime factors of 92736 and 92742.

Prime Factorization of 92736

Prime Factorization of 92742

Now multiplying the highest exponent prime factors to calculate the LCM of 92736 and 92742.

LCM(92736,92742) = 2⁶ × 3² × 7¹ × 23¹ × 13¹ × 29¹ × 41¹
LCM(92736,92742) = 1433420352