What is the Least Common Multiple of 83021 and 83034?

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 83021 and 83034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83021 and 83034, than apply into the LCM equation.

GCF(83021,83034) = 1
LCM(83021,83034) = ( 83021 × 83034) / 1
LCM(83021,83034) = 6893565714 / 1
LCM(83021,83034) = 6893565714

Least Common Multiple (LCM) of 83021 and 83034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83021 and 83034. First we will calculate the prime factors of 83021 and 83034.

Prime Factorization of 83021

Prime Factorization of 83034

Now multiplying the highest exponent prime factors to calculate the LCM of 83021 and 83034.

LCM(83021,83034) = 61¹ × 1361¹ × 2¹ × 3² × 7¹ × 659¹
LCM(83021,83034) = 6893565714