What is the Least Common Multiple of 53124 and 53130?

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 53124 and 53130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53124 and 53130, than apply into the LCM equation.

GCF(53124,53130) = 6
LCM(53124,53130) = ( 53124 × 53130) / 6
LCM(53124,53130) = 2822478120 / 6
LCM(53124,53130) = 470413020

Least Common Multiple (LCM) of 53124 and 53130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53124 and 53130. First we will calculate the prime factors of 53124 and 53130.

Prime Factorization of 53124

Prime Factorization of 53130

Now multiplying the highest exponent prime factors to calculate the LCM of 53124 and 53130.

LCM(53124,53130) = 2² × 3¹ × 19¹ × 233¹ × 5¹ × 7¹ × 11¹ × 23¹
LCM(53124,53130) = 470413020