What is the Least Common Multiple of 54072 and 54080?

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 54072 and 54080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54072 and 54080, than apply into the LCM equation.

GCF(54072,54080) = 8
LCM(54072,54080) = ( 54072 × 54080) / 8
LCM(54072,54080) = 2924213760 / 8
LCM(54072,54080) = 365526720

Least Common Multiple (LCM) of 54072 and 54080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54072 and 54080. First we will calculate the prime factors of 54072 and 54080.

Prime Factorization of 54072

Prime Factorization of 54080

Now multiplying the highest exponent prime factors to calculate the LCM of 54072 and 54080.

LCM(54072,54080) = 2⁶ × 3² × 751¹ × 5¹ × 13²
LCM(54072,54080) = 365526720