What is the Least Common Multiple of 80322 and 80340?

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 80322 and 80340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80322 and 80340, than apply into the LCM equation.

GCF(80322,80340) = 6
LCM(80322,80340) = ( 80322 × 80340) / 6
LCM(80322,80340) = 6453069480 / 6
LCM(80322,80340) = 1075511580

Least Common Multiple (LCM) of 80322 and 80340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80322 and 80340. First we will calculate the prime factors of 80322 and 80340.

Prime Factorization of 80322

Prime Factorization of 80340

Now multiplying the highest exponent prime factors to calculate the LCM of 80322 and 80340.

LCM(80322,80340) = 2² × 3¹ × 11¹ × 1217¹ × 5¹ × 13¹ × 103¹
LCM(80322,80340) = 1075511580