What is the Least Common Multiple of 54120 and 54126?

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 54126 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 54126, than apply into the LCM equation.

GCF(54120,54126) = 6
LCM(54120,54126) = ( 54120 × 54126) / 6
LCM(54120,54126) = 2929299120 / 6
LCM(54120,54126) = 488216520

Least Common Multiple (LCM) of 54120 and 54126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54120 and 54126. First we will calculate the prime factors of 54120 and 54126.

Prime Factorization of 54120

Prime Factorization of 54126

Now multiplying the highest exponent prime factors to calculate the LCM of 54120 and 54126.

LCM(54120,54126) = 2³ × 3² × 5¹ × 11¹ × 41¹ × 31¹ × 97¹
LCM(54120,54126) = 488216520