What is the Least Common Multiple of 54900 and 54918?

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 54900 and 54918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54900 and 54918, than apply into the LCM equation.

GCF(54900,54918) = 18
LCM(54900,54918) = ( 54900 × 54918) / 18
LCM(54900,54918) = 3014998200 / 18
LCM(54900,54918) = 167499900

Least Common Multiple (LCM) of 54900 and 54918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54900 and 54918. First we will calculate the prime factors of 54900 and 54918.

Prime Factorization of 54900

Prime Factorization of 54918

Now multiplying the highest exponent prime factors to calculate the LCM of 54900 and 54918.

LCM(54900,54918) = 2² × 3⁵ × 5² × 61¹ × 113¹
LCM(54900,54918) = 167499900