What is the Least Common Multiple of 54756 and 54771?

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 54756 and 54771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54756 and 54771, than apply into the LCM equation.

GCF(54756,54771) = 3
LCM(54756,54771) = ( 54756 × 54771) / 3
LCM(54756,54771) = 2999040876 / 3
LCM(54756,54771) = 999680292

Least Common Multiple (LCM) of 54756 and 54771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54756 and 54771. First we will calculate the prime factors of 54756 and 54771.

Prime Factorization of 54756

Prime Factorization of 54771

Now multiplying the highest exponent prime factors to calculate the LCM of 54756 and 54771.

LCM(54756,54771) = 2² × 3⁴ × 13² × 18257¹
LCM(54756,54771) = 999680292