What is the Least Common Multiple of 51156 and 51168?

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 51156 and 51168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51156 and 51168, than apply into the LCM equation.

GCF(51156,51168) = 12
LCM(51156,51168) = ( 51156 × 51168) / 12
LCM(51156,51168) = 2617550208 / 12
LCM(51156,51168) = 218129184

Least Common Multiple (LCM) of 51156 and 51168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51156 and 51168. First we will calculate the prime factors of 51156 and 51168.

Prime Factorization of 51156

Prime Factorization of 51168

Now multiplying the highest exponent prime factors to calculate the LCM of 51156 and 51168.

LCM(51156,51168) = 2⁵ × 3² × 7² × 29¹ × 13¹ × 41¹
LCM(51156,51168) = 218129184