What is the Least Common Multiple of 51852 and 51857?

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 51852 and 51857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51852 and 51857, than apply into the LCM equation.

GCF(51852,51857) = 1
LCM(51852,51857) = ( 51852 × 51857) / 1
LCM(51852,51857) = 2688889164 / 1
LCM(51852,51857) = 2688889164

Least Common Multiple (LCM) of 51852 and 51857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51852 and 51857. First we will calculate the prime factors of 51852 and 51857.

Prime Factorization of 51852

Prime Factorization of 51857

Now multiplying the highest exponent prime factors to calculate the LCM of 51852 and 51857.

LCM(51852,51857) = 2² × 3¹ × 29¹ × 149¹ × 13¹ × 3989¹
LCM(51852,51857) = 2688889164