What is the Least Common Multiple of 83310 and 83329?

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 83310 and 83329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83310 and 83329, than apply into the LCM equation.

GCF(83310,83329) = 1
LCM(83310,83329) = ( 83310 × 83329) / 1
LCM(83310,83329) = 6942138990 / 1
LCM(83310,83329) = 6942138990

Least Common Multiple (LCM) of 83310 and 83329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83310 and 83329. First we will calculate the prime factors of 83310 and 83329.

Prime Factorization of 83310

Prime Factorization of 83329

Now multiplying the highest exponent prime factors to calculate the LCM of 83310 and 83329.

LCM(83310,83329) = 2¹ × 3¹ × 5¹ × 2777¹ × 23¹ × 3623¹
LCM(83310,83329) = 6942138990