What is the Least Common Multiple of 53112 and 53116?

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 53116 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 53116, than apply into the LCM equation.

GCF(53112,53116) = 4
LCM(53112,53116) = ( 53112 × 53116) / 4
LCM(53112,53116) = 2821096992 / 4
LCM(53112,53116) = 705274248

Least Common Multiple (LCM) of 53112 and 53116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53112 and 53116. First we will calculate the prime factors of 53112 and 53116.

Prime Factorization of 53112

Prime Factorization of 53116

Now multiplying the highest exponent prime factors to calculate the LCM of 53112 and 53116.

LCM(53112,53116) = 2³ × 3¹ × 2213¹ × 7² × 271¹
LCM(53112,53116) = 705274248