What is the Least Common Multiple of 92868 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 92868 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 92868 and 92874, than apply into the LCM equation.

GCF(92868,92874) = 6
LCM(92868,92874) = ( 92868 × 92874) / 6
LCM(92868,92874) = 8625022632 / 6
LCM(92868,92874) = 1437503772

Least Common Multiple (LCM) of 92868 and 92874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92868 and 92874. First we will calculate the prime factors of 92868 and 92874.

Prime Factorization of 92868

Prime Factorization of 92874

Now multiplying the highest exponent prime factors to calculate the LCM of 92868 and 92874.

LCM(92868,92874) = 2² × 3¹ × 71¹ × 109¹ × 23¹ × 673¹
LCM(92868,92874) = 1437503772