What is the Least Common Multiple of 54975 and 54980?

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 54975 and 54980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54975 and 54980, than apply into the LCM equation.

GCF(54975,54980) = 5
LCM(54975,54980) = ( 54975 × 54980) / 5
LCM(54975,54980) = 3022525500 / 5
LCM(54975,54980) = 604505100

Least Common Multiple (LCM) of 54975 and 54980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54975 and 54980. First we will calculate the prime factors of 54975 and 54980.

Prime Factorization of 54975

Prime Factorization of 54980

Now multiplying the highest exponent prime factors to calculate the LCM of 54975 and 54980.

LCM(54975,54980) = 3¹ × 5² × 733¹ × 2² × 2749¹
LCM(54975,54980) = 604505100