What is the Least Common Multiple of 9054 and 9072?

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 9054 and 9072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9054 and 9072, than apply into the LCM equation.

GCF(9054,9072) = 18
LCM(9054,9072) = ( 9054 × 9072) / 18
LCM(9054,9072) = 82137888 / 18
LCM(9054,9072) = 4563216

Least Common Multiple (LCM) of 9054 and 9072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9054 and 9072. First we will calculate the prime factors of 9054 and 9072.

Prime Factorization of 9054

Prime Factorization of 9072

Now multiplying the highest exponent prime factors to calculate the LCM of 9054 and 9072.

LCM(9054,9072) = 2⁴ × 3⁴ × 503¹ × 7¹
LCM(9054,9072) = 4563216