What is the Least Common Multiple of 80321 and 80338?

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 80321 and 80338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80321 and 80338, than apply into the LCM equation.

GCF(80321,80338) = 1
LCM(80321,80338) = ( 80321 × 80338) / 1
LCM(80321,80338) = 6452828498 / 1
LCM(80321,80338) = 6452828498

Least Common Multiple (LCM) of 80321 and 80338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80321 and 80338. First we will calculate the prime factors of 80321 and 80338.

Prime Factorization of 80321

Prime Factorization of 80338

Now multiplying the highest exponent prime factors to calculate the LCM of 80321 and 80338.

LCM(80321,80338) = 31¹ × 2591¹ × 2¹ × 40169¹
LCM(80321,80338) = 6452828498