What is the Least Common Multiple of 54600 and 54612?

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 54600 and 54612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54600 and 54612, than apply into the LCM equation.

GCF(54600,54612) = 12
LCM(54600,54612) = ( 54600 × 54612) / 12
LCM(54600,54612) = 2981815200 / 12
LCM(54600,54612) = 248484600

Least Common Multiple (LCM) of 54600 and 54612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54600 and 54612. First we will calculate the prime factors of 54600 and 54612.

Prime Factorization of 54600

Prime Factorization of 54612

Now multiplying the highest exponent prime factors to calculate the LCM of 54600 and 54612.

LCM(54600,54612) = 2³ × 3² × 5² × 7¹ × 13¹ × 37¹ × 41¹
LCM(54600,54612) = 248484600