What is the Least Common Multiple of 9072 and 9084?

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 9072 and 9084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9072 and 9084, than apply into the LCM equation.

GCF(9072,9084) = 12
LCM(9072,9084) = ( 9072 × 9084) / 12
LCM(9072,9084) = 82410048 / 12
LCM(9072,9084) = 6867504

Least Common Multiple (LCM) of 9072 and 9084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9072 and 9084. First we will calculate the prime factors of 9072 and 9084.

Prime Factorization of 9072

Prime Factorization of 9084

Now multiplying the highest exponent prime factors to calculate the LCM of 9072 and 9084.

LCM(9072,9084) = 2⁴ × 3⁴ × 7¹ × 757¹
LCM(9072,9084) = 6867504