What is the Least Common Multiple of 54600 and 54609?

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 54609 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 54609, than apply into the LCM equation.

GCF(54600,54609) = 3
LCM(54600,54609) = ( 54600 × 54609) / 3
LCM(54600,54609) = 2981651400 / 3
LCM(54600,54609) = 993883800

Least Common Multiple (LCM) of 54600 and 54609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54600 and 54609. First we will calculate the prime factors of 54600 and 54609.

Prime Factorization of 54600

Prime Factorization of 54609

Now multiplying the highest exponent prime factors to calculate the LCM of 54600 and 54609.

LCM(54600,54609) = 2³ × 3¹ × 5² × 7¹ × 13¹ × 109¹ × 167¹
LCM(54600,54609) = 993883800