What is the Least Common Multiple of 54036 and 54048?

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 54036 and 54048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54036 and 54048, than apply into the LCM equation.

GCF(54036,54048) = 12
LCM(54036,54048) = ( 54036 × 54048) / 12
LCM(54036,54048) = 2920537728 / 12
LCM(54036,54048) = 243378144

Least Common Multiple (LCM) of 54036 and 54048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54036 and 54048. First we will calculate the prime factors of 54036 and 54048.

Prime Factorization of 54036

Prime Factorization of 54048

Now multiplying the highest exponent prime factors to calculate the LCM of 54036 and 54048.

LCM(54036,54048) = 2⁵ × 3² × 19¹ × 79¹ × 563¹
LCM(54036,54048) = 243378144