What is the Least Common Multiple of 83052 and 83059?

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 83052 and 83059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83052 and 83059, than apply into the LCM equation.

GCF(83052,83059) = 1
LCM(83052,83059) = ( 83052 × 83059) / 1
LCM(83052,83059) = 6898216068 / 1
LCM(83052,83059) = 6898216068

Least Common Multiple (LCM) of 83052 and 83059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83052 and 83059. First we will calculate the prime factors of 83052 and 83059.

Prime Factorization of 83052

Prime Factorization of 83059

Now multiplying the highest exponent prime factors to calculate the LCM of 83052 and 83059.

LCM(83052,83059) = 2² × 3³ × 769¹ × 83059¹
LCM(83052,83059) = 6898216068