What is the Least Common Multiple of 83682 and 83702?

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 83682 and 83702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83682 and 83702, than apply into the LCM equation.

GCF(83682,83702) = 2
LCM(83682,83702) = ( 83682 × 83702) / 2
LCM(83682,83702) = 7004350764 / 2
LCM(83682,83702) = 3502175382

Least Common Multiple (LCM) of 83682 and 83702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83682 and 83702. First we will calculate the prime factors of 83682 and 83702.

Prime Factorization of 83682

Prime Factorization of 83702

Now multiplying the highest exponent prime factors to calculate the LCM of 83682 and 83702.

LCM(83682,83702) = 2¹ × 3² × 4649¹ × 41851¹
LCM(83682,83702) = 3502175382