What is the Least Common Multiple of 80322 and 80339?

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 80339 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 80339, than apply into the LCM equation.

GCF(80322,80339) = 1
LCM(80322,80339) = ( 80322 × 80339) / 1
LCM(80322,80339) = 6452989158 / 1
LCM(80322,80339) = 6452989158

Least Common Multiple (LCM) of 80322 and 80339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80322 and 80339. First we will calculate the prime factors of 80322 and 80339.

Prime Factorization of 80322

Prime Factorization of 80339

Now multiplying the highest exponent prime factors to calculate the LCM of 80322 and 80339.

LCM(80322,80339) = 2¹ × 3¹ × 11¹ × 1217¹ × 7¹ × 23¹ × 499¹
LCM(80322,80339) = 6452989158