What is the Least Common Multiple of 92754 and 92772?

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 92754 and 92772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92754 and 92772, than apply into the LCM equation.

GCF(92754,92772) = 18
LCM(92754,92772) = ( 92754 × 92772) / 18
LCM(92754,92772) = 8604974088 / 18
LCM(92754,92772) = 478054116

Least Common Multiple (LCM) of 92754 and 92772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92754 and 92772. First we will calculate the prime factors of 92754 and 92772.

Prime Factorization of 92754

Prime Factorization of 92772

Now multiplying the highest exponent prime factors to calculate the LCM of 92754 and 92772.

LCM(92754,92772) = 2² × 3³ × 5153¹ × 859¹
LCM(92754,92772) = 478054116