What is the Least Common Multiple of 54804 and 54816?

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 54804 and 54816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54804 and 54816, than apply into the LCM equation.

GCF(54804,54816) = 12
LCM(54804,54816) = ( 54804 × 54816) / 12
LCM(54804,54816) = 3004136064 / 12
LCM(54804,54816) = 250344672

Least Common Multiple (LCM) of 54804 and 54816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54804 and 54816. First we will calculate the prime factors of 54804 and 54816.

Prime Factorization of 54804

Prime Factorization of 54816

Now multiplying the highest exponent prime factors to calculate the LCM of 54804 and 54816.

LCM(54804,54816) = 2⁵ × 3¹ × 4567¹ × 571¹
LCM(54804,54816) = 250344672