What is the Least Common Multiple of 83652 and 83667?

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 83652 and 83667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83652 and 83667, than apply into the LCM equation.

GCF(83652,83667) = 3
LCM(83652,83667) = ( 83652 × 83667) / 3
LCM(83652,83667) = 6998911884 / 3
LCM(83652,83667) = 2332970628

Least Common Multiple (LCM) of 83652 and 83667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83652 and 83667. First we will calculate the prime factors of 83652 and 83667.

Prime Factorization of 83652

Prime Factorization of 83667

Now multiplying the highest exponent prime factors to calculate the LCM of 83652 and 83667.

LCM(83652,83667) = 2² × 3¹ × 6971¹ × 167²
LCM(83652,83667) = 2332970628