What is the Least Common Multiple of 83013 and 83031?

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 83013 and 83031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83013 and 83031, than apply into the LCM equation.

GCF(83013,83031) = 3
LCM(83013,83031) = ( 83013 × 83031) / 3
LCM(83013,83031) = 6892652403 / 3
LCM(83013,83031) = 2297550801

Least Common Multiple (LCM) of 83013 and 83031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83013 and 83031. First we will calculate the prime factors of 83013 and 83031.

Prime Factorization of 83013

Prime Factorization of 83031

Now multiplying the highest exponent prime factors to calculate the LCM of 83013 and 83031.

LCM(83013,83031) = 3¹ × 7¹ × 59¹ × 67¹ × 13¹ × 2129¹
LCM(83013,83031) = 2297550801