What is the Least Common Multiple of 72864 and 72874?

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 72864 and 72874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72864 and 72874, than apply into the LCM equation.

GCF(72864,72874) = 2
LCM(72864,72874) = ( 72864 × 72874) / 2
LCM(72864,72874) = 5309891136 / 2
LCM(72864,72874) = 2654945568

Least Common Multiple (LCM) of 72864 and 72874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72864 and 72874. First we will calculate the prime factors of 72864 and 72874.

Prime Factorization of 72864

Prime Factorization of 72874

Now multiplying the highest exponent prime factors to calculate the LCM of 72864 and 72874.

LCM(72864,72874) = 2⁵ × 3² × 11¹ × 23¹ × 83¹ × 439¹
LCM(72864,72874) = 2654945568