What is the Least Common Multiple of 80362 and 80377?

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 80362 and 80377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80362 and 80377, than apply into the LCM equation.

GCF(80362,80377) = 1
LCM(80362,80377) = ( 80362 × 80377) / 1
LCM(80362,80377) = 6459256474 / 1
LCM(80362,80377) = 6459256474

Least Common Multiple (LCM) of 80362 and 80377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80362 and 80377. First we will calculate the prime factors of 80362 and 80377.

Prime Factorization of 80362

Prime Factorization of 80377

Now multiplying the highest exponent prime factors to calculate the LCM of 80362 and 80377.

LCM(80362,80377) = 2¹ × 23¹ × 1747¹ × 11¹ × 7307¹
LCM(80362,80377) = 6459256474