What is the Least Common Multiple of 80322 and 80341?

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 80341 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 80341, than apply into the LCM equation.

GCF(80322,80341) = 1
LCM(80322,80341) = ( 80322 × 80341) / 1
LCM(80322,80341) = 6453149802 / 1
LCM(80322,80341) = 6453149802

Least Common Multiple (LCM) of 80322 and 80341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80322 and 80341. First we will calculate the prime factors of 80322 and 80341.

Prime Factorization of 80322

Prime Factorization of 80341

Now multiplying the highest exponent prime factors to calculate the LCM of 80322 and 80341.

LCM(80322,80341) = 2¹ × 3¹ × 11¹ × 1217¹ × 80341¹
LCM(80322,80341) = 6453149802