What is the Least Common Multiple of 93868 and 93874?

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 93868 and 93874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93868 and 93874, than apply into the LCM equation.

GCF(93868,93874) = 2
LCM(93868,93874) = ( 93868 × 93874) / 2
LCM(93868,93874) = 8811764632 / 2
LCM(93868,93874) = 4405882316

Least Common Multiple (LCM) of 93868 and 93874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93868 and 93874. First we will calculate the prime factors of 93868 and 93874.

Prime Factorization of 93868

Prime Factorization of 93874

Now multiplying the highest exponent prime factors to calculate the LCM of 93868 and 93874.

LCM(93868,93874) = 2² × 31¹ × 757¹ × 11¹ × 17¹ × 251¹
LCM(93868,93874) = 4405882316