What is the Least Common Multiple of 51360 and 51372?

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 51360 and 51372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51360 and 51372, than apply into the LCM equation.

GCF(51360,51372) = 12
LCM(51360,51372) = ( 51360 × 51372) / 12
LCM(51360,51372) = 2638465920 / 12
LCM(51360,51372) = 219872160

Least Common Multiple (LCM) of 51360 and 51372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51360 and 51372. First we will calculate the prime factors of 51360 and 51372.

Prime Factorization of 51360

Prime Factorization of 51372

Now multiplying the highest exponent prime factors to calculate the LCM of 51360 and 51372.

LCM(51360,51372) = 2⁵ × 3² × 5¹ × 107¹ × 1427¹
LCM(51360,51372) = 219872160