What is the Least Common Multiple of 54804 and 54822?

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 54822 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 54822, than apply into the LCM equation.

GCF(54804,54822) = 6
LCM(54804,54822) = ( 54804 × 54822) / 6
LCM(54804,54822) = 3004464888 / 6
LCM(54804,54822) = 500744148

Least Common Multiple (LCM) of 54804 and 54822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54804 and 54822. First we will calculate the prime factors of 54804 and 54822.

Prime Factorization of 54804

Prime Factorization of 54822

Now multiplying the highest exponent prime factors to calculate the LCM of 54804 and 54822.

LCM(54804,54822) = 2² × 3¹ × 4567¹ × 9137¹
LCM(54804,54822) = 500744148