What is the Least Common Multiple of 53112 and 53124?

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 53112 and 53124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53112 and 53124, than apply into the LCM equation.

GCF(53112,53124) = 12
LCM(53112,53124) = ( 53112 × 53124) / 12
LCM(53112,53124) = 2821521888 / 12
LCM(53112,53124) = 235126824

Least Common Multiple (LCM) of 53112 and 53124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53112 and 53124. First we will calculate the prime factors of 53112 and 53124.

Prime Factorization of 53112

Prime Factorization of 53124

Now multiplying the highest exponent prime factors to calculate the LCM of 53112 and 53124.

LCM(53112,53124) = 2³ × 3¹ × 2213¹ × 19¹ × 233¹
LCM(53112,53124) = 235126824