What is the Least Common Multiple of 92742 and 92759?

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 92742 and 92759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92742 and 92759, than apply into the LCM equation.

GCF(92742,92759) = 1
LCM(92742,92759) = ( 92742 × 92759) / 1
LCM(92742,92759) = 8602655178 / 1
LCM(92742,92759) = 8602655178

Least Common Multiple (LCM) of 92742 and 92759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92742 and 92759. First we will calculate the prime factors of 92742 and 92759.

Prime Factorization of 92742

Prime Factorization of 92759

Now multiplying the highest exponent prime factors to calculate the LCM of 92742 and 92759.

LCM(92742,92759) = 2¹ × 3¹ × 13¹ × 29¹ × 41¹ × 23¹ × 37¹ × 109¹
LCM(92742,92759) = 8602655178