What is the Least Common Multiple of 50864 and 50874?

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 50864 and 50874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50864 and 50874, than apply into the LCM equation.

GCF(50864,50874) = 2
LCM(50864,50874) = ( 50864 × 50874) / 2
LCM(50864,50874) = 2587655136 / 2
LCM(50864,50874) = 1293827568

Least Common Multiple (LCM) of 50864 and 50874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50864 and 50874. First we will calculate the prime factors of 50864 and 50874.

Prime Factorization of 50864

Prime Factorization of 50874

Now multiplying the highest exponent prime factors to calculate the LCM of 50864 and 50874.

LCM(50864,50874) = 2⁴ × 11¹ × 17² × 3¹ × 61¹ × 139¹
LCM(50864,50874) = 1293827568