What is the Least Common Multiple of 83589 and 83607?

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 83589 and 83607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83589 and 83607, than apply into the LCM equation.

GCF(83589,83607) = 3
LCM(83589,83607) = ( 83589 × 83607) / 3
LCM(83589,83607) = 6988625523 / 3
LCM(83589,83607) = 2329541841

Least Common Multiple (LCM) of 83589 and 83607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83589 and 83607. First we will calculate the prime factors of 83589 and 83607.

Prime Factorization of 83589

Prime Factorization of 83607

Now multiplying the highest exponent prime factors to calculate the LCM of 83589 and 83607.

LCM(83589,83607) = 3¹ × 11¹ × 17¹ × 149¹ × 29¹ × 31²
LCM(83589,83607) = 2329541841