What is the Least Common Multiple of 89859 and 89874?

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 89859 and 89874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89859 and 89874, than apply into the LCM equation.

GCF(89859,89874) = 3
LCM(89859,89874) = ( 89859 × 89874) / 3
LCM(89859,89874) = 8075987766 / 3
LCM(89859,89874) = 2691995922

Least Common Multiple (LCM) of 89859 and 89874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89859 and 89874. First we will calculate the prime factors of 89859 and 89874.

Prime Factorization of 89859

Prime Factorization of 89874

Now multiplying the highest exponent prime factors to calculate the LCM of 89859 and 89874.

LCM(89859,89874) = 3² × 7¹ × 11¹ × 389¹ × 2¹ × 4993¹
LCM(89859,89874) = 2691995922