What is the Least Common Multiple of 83213 and 83233?

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 83213 and 83233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83213 and 83233, than apply into the LCM equation.

GCF(83213,83233) = 1
LCM(83213,83233) = ( 83213 × 83233) / 1
LCM(83213,83233) = 6926067629 / 1
LCM(83213,83233) = 6926067629

Least Common Multiple (LCM) of 83213 and 83233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83213 and 83233. First we will calculate the prime factors of 83213 and 83233.

Prime Factorization of 83213

Prime Factorization of 83233

Now multiplying the highest exponent prime factors to calculate the LCM of 83213 and 83233.

LCM(83213,83233) = 13¹ × 37¹ × 173¹ × 83233¹
LCM(83213,83233) = 6926067629