What is the Least Common Multiple of 51857 and 51874?

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 51857 and 51874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51857 and 51874, than apply into the LCM equation.

GCF(51857,51874) = 1
LCM(51857,51874) = ( 51857 × 51874) / 1
LCM(51857,51874) = 2690030018 / 1
LCM(51857,51874) = 2690030018

Least Common Multiple (LCM) of 51857 and 51874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51857 and 51874. First we will calculate the prime factors of 51857 and 51874.

Prime Factorization of 51857

Prime Factorization of 51874

Now multiplying the highest exponent prime factors to calculate the LCM of 51857 and 51874.

LCM(51857,51874) = 13¹ × 3989¹ × 2¹ × 37¹ × 701¹
LCM(51857,51874) = 2690030018