What is the Least Common Multiple of 83017 and 83033?

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 83017 and 83033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83017 and 83033, than apply into the LCM equation.

GCF(83017,83033) = 1
LCM(83017,83033) = ( 83017 × 83033) / 1
LCM(83017,83033) = 6893150561 / 1
LCM(83017,83033) = 6893150561

Least Common Multiple (LCM) of 83017 and 83033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83017 and 83033. First we will calculate the prime factors of 83017 and 83033.

Prime Factorization of 83017

Prime Factorization of 83033

Now multiplying the highest exponent prime factors to calculate the LCM of 83017 and 83033.

LCM(83017,83033) = 11¹ × 7547¹ × 43¹ × 1931¹
LCM(83017,83033) = 6893150561