What is the Least Common Multiple of 54120 and 54134?

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 54134 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 54134, than apply into the LCM equation.

GCF(54120,54134) = 2
LCM(54120,54134) = ( 54120 × 54134) / 2
LCM(54120,54134) = 2929732080 / 2
LCM(54120,54134) = 1464866040

Least Common Multiple (LCM) of 54120 and 54134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54120 and 54134. First we will calculate the prime factors of 54120 and 54134.

Prime Factorization of 54120

Prime Factorization of 54134

Now multiplying the highest exponent prime factors to calculate the LCM of 54120 and 54134.

LCM(54120,54134) = 2³ × 3¹ × 5¹ × 11¹ × 41¹ × 27067¹
LCM(54120,54134) = 1464866040