What is the Least Common Multiple of 92076 and 92091?

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 92076 and 92091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92076 and 92091, than apply into the LCM equation.

GCF(92076,92091) = 3
LCM(92076,92091) = ( 92076 × 92091) / 3
LCM(92076,92091) = 8479370916 / 3
LCM(92076,92091) = 2826456972

Least Common Multiple (LCM) of 92076 and 92091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92076 and 92091. First we will calculate the prime factors of 92076 and 92091.

Prime Factorization of 92076

Prime Factorization of 92091

Now multiplying the highest exponent prime factors to calculate the LCM of 92076 and 92091.

LCM(92076,92091) = 2² × 3¹ × 7673¹ × 30697¹
LCM(92076,92091) = 2826456972