What is the Least Common Multiple of 92733 and 92745?

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 92733 and 92745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92733 and 92745, than apply into the LCM equation.

GCF(92733,92745) = 3
LCM(92733,92745) = ( 92733 × 92745) / 3
LCM(92733,92745) = 8600522085 / 3
LCM(92733,92745) = 2866840695

Least Common Multiple (LCM) of 92733 and 92745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92733 and 92745. First we will calculate the prime factors of 92733 and 92745.

Prime Factorization of 92733

Prime Factorization of 92745

Now multiplying the highest exponent prime factors to calculate the LCM of 92733 and 92745.

LCM(92733,92745) = 3⁴ × 30911¹ × 5¹ × 229¹
LCM(92733,92745) = 2866840695