What is the Least Common Multiple of 83568 and 83574?

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 83568 and 83574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83568 and 83574, than apply into the LCM equation.

GCF(83568,83574) = 6
LCM(83568,83574) = ( 83568 × 83574) / 6
LCM(83568,83574) = 6984112032 / 6
LCM(83568,83574) = 1164018672

Least Common Multiple (LCM) of 83568 and 83574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83568 and 83574. First we will calculate the prime factors of 83568 and 83574.

Prime Factorization of 83568

Prime Factorization of 83574

Now multiplying the highest exponent prime factors to calculate the LCM of 83568 and 83574.

LCM(83568,83574) = 2⁴ × 3² × 1741¹ × 4643¹
LCM(83568,83574) = 1164018672