What is the Least Common Multiple of 9072 and 9076?

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 9076 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 9076, than apply into the LCM equation.

GCF(9072,9076) = 4
LCM(9072,9076) = ( 9072 × 9076) / 4
LCM(9072,9076) = 82337472 / 4
LCM(9072,9076) = 20584368

Least Common Multiple (LCM) of 9072 and 9076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9072 and 9076. First we will calculate the prime factors of 9072 and 9076.

Prime Factorization of 9072

Prime Factorization of 9076

Now multiplying the highest exponent prime factors to calculate the LCM of 9072 and 9076.

LCM(9072,9076) = 2⁴ × 3⁴ × 7¹ × 2269¹
LCM(9072,9076) = 20584368