What is the Least Common Multiple of 54120 and 54136?

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 54120 and 54136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54120 and 54136, than apply into the LCM equation.

GCF(54120,54136) = 8
LCM(54120,54136) = ( 54120 × 54136) / 8
LCM(54120,54136) = 2929840320 / 8
LCM(54120,54136) = 366230040

Least Common Multiple (LCM) of 54120 and 54136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54120 and 54136. First we will calculate the prime factors of 54120 and 54136.

Prime Factorization of 54120

Prime Factorization of 54136

Now multiplying the highest exponent prime factors to calculate the LCM of 54120 and 54136.

LCM(54120,54136) = 2³ × 3¹ × 5¹ × 11¹ × 41¹ × 67¹ × 101¹
LCM(54120,54136) = 366230040