What is the Least Common Multiple of 54504 and 54510?

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 54504 and 54510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54504 and 54510, than apply into the LCM equation.

GCF(54504,54510) = 6
LCM(54504,54510) = ( 54504 × 54510) / 6
LCM(54504,54510) = 2971013040 / 6
LCM(54504,54510) = 495168840

Least Common Multiple (LCM) of 54504 and 54510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54504 and 54510. First we will calculate the prime factors of 54504 and 54510.

Prime Factorization of 54504

Prime Factorization of 54510

Now multiplying the highest exponent prime factors to calculate the LCM of 54504 and 54510.

LCM(54504,54510) = 2³ × 3² × 757¹ × 5¹ × 23¹ × 79¹
LCM(54504,54510) = 495168840