What is the Least Common Multiple of 51156 and 51160?

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 51160 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 51160, than apply into the LCM equation.

GCF(51156,51160) = 4
LCM(51156,51160) = ( 51156 × 51160) / 4
LCM(51156,51160) = 2617140960 / 4
LCM(51156,51160) = 654285240

Least Common Multiple (LCM) of 51156 and 51160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51156 and 51160. First we will calculate the prime factors of 51156 and 51160.

Prime Factorization of 51156

Prime Factorization of 51160

Now multiplying the highest exponent prime factors to calculate the LCM of 51156 and 51160.

LCM(51156,51160) = 2³ × 3² × 7² × 29¹ × 5¹ × 1279¹
LCM(51156,51160) = 654285240