What is the Least Common Multiple of 54975 and 54984?

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 54984 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 54984, than apply into the LCM equation.

GCF(54975,54984) = 3
LCM(54975,54984) = ( 54975 × 54984) / 3
LCM(54975,54984) = 3022745400 / 3
LCM(54975,54984) = 1007581800

Least Common Multiple (LCM) of 54975 and 54984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54975 and 54984. First we will calculate the prime factors of 54975 and 54984.

Prime Factorization of 54975

Prime Factorization of 54984

Now multiplying the highest exponent prime factors to calculate the LCM of 54975 and 54984.

LCM(54975,54984) = 3¹ × 5² × 733¹ × 2³ × 29¹ × 79¹
LCM(54975,54984) = 1007581800