What is the Least Common Multiple of 54756 and 54774?

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 54774 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 54774, than apply into the LCM equation.

GCF(54756,54774) = 18
LCM(54756,54774) = ( 54756 × 54774) / 18
LCM(54756,54774) = 2999205144 / 18
LCM(54756,54774) = 166622508

Least Common Multiple (LCM) of 54756 and 54774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54756 and 54774. First we will calculate the prime factors of 54756 and 54774.

Prime Factorization of 54756

Prime Factorization of 54774

Now multiplying the highest exponent prime factors to calculate the LCM of 54756 and 54774.

LCM(54756,54774) = 2² × 3⁴ × 13² × 17¹ × 179¹
LCM(54756,54774) = 166622508