What is the Least Common Multiple of 51135 and 51142?

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 51135 and 51142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51135 and 51142, than apply into the LCM equation.

GCF(51135,51142) = 7
LCM(51135,51142) = ( 51135 × 51142) / 7
LCM(51135,51142) = 2615146170 / 7
LCM(51135,51142) = 373592310

Least Common Multiple (LCM) of 51135 and 51142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51135 and 51142. First we will calculate the prime factors of 51135 and 51142.

Prime Factorization of 51135

Prime Factorization of 51142

Now multiplying the highest exponent prime factors to calculate the LCM of 51135 and 51142.

LCM(51135,51142) = 3¹ × 5¹ × 7¹ × 487¹ × 2¹ × 13¹ × 281¹
LCM(51135,51142) = 373592310