What is the Least Common Multiple of 92856 and 92874?

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 92856 and 92874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92856 and 92874, than apply into the LCM equation.

GCF(92856,92874) = 6
LCM(92856,92874) = ( 92856 × 92874) / 6
LCM(92856,92874) = 8623908144 / 6
LCM(92856,92874) = 1437318024

Least Common Multiple (LCM) of 92856 and 92874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92856 and 92874. First we will calculate the prime factors of 92856 and 92874.

Prime Factorization of 92856

Prime Factorization of 92874

Now multiplying the highest exponent prime factors to calculate the LCM of 92856 and 92874.

LCM(92856,92874) = 2³ × 3¹ × 53¹ × 73¹ × 23¹ × 673¹
LCM(92856,92874) = 1437318024