What is the Least Common Multiple of 83589 and 83602?

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 83602 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 83602, than apply into the LCM equation.

GCF(83589,83602) = 1
LCM(83589,83602) = ( 83589 × 83602) / 1
LCM(83589,83602) = 6988207578 / 1
LCM(83589,83602) = 6988207578

Least Common Multiple (LCM) of 83589 and 83602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83589 and 83602. First we will calculate the prime factors of 83589 and 83602.

Prime Factorization of 83589

Prime Factorization of 83602

Now multiplying the highest exponent prime factors to calculate the LCM of 83589 and 83602.

LCM(83589,83602) = 3¹ × 11¹ × 17¹ × 149¹ × 2¹ × 41801¹
LCM(83589,83602) = 6988207578