What is the Least Common Multiple of 9084 and 9096?

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 9084 and 9096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9084 and 9096, than apply into the LCM equation.

GCF(9084,9096) = 12
LCM(9084,9096) = ( 9084 × 9096) / 12
LCM(9084,9096) = 82628064 / 12
LCM(9084,9096) = 6885672

Least Common Multiple (LCM) of 9084 and 9096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9084 and 9096. First we will calculate the prime factors of 9084 and 9096.

Prime Factorization of 9084

Prime Factorization of 9096

Now multiplying the highest exponent prime factors to calculate the LCM of 9084 and 9096.

LCM(9084,9096) = 2³ × 3¹ × 757¹ × 379¹
LCM(9084,9096) = 6885672