What is the Least Common Multiple of 80318 and 80337?

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 80318 and 80337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80318 and 80337, than apply into the LCM equation.

GCF(80318,80337) = 1
LCM(80318,80337) = ( 80318 × 80337) / 1
LCM(80318,80337) = 6452507166 / 1
LCM(80318,80337) = 6452507166

Least Common Multiple (LCM) of 80318 and 80337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80318 and 80337. First we will calculate the prime factors of 80318 and 80337.

Prime Factorization of 80318

Prime Factorization of 80337

Now multiplying the highest exponent prime factors to calculate the LCM of 80318 and 80337.

LCM(80318,80337) = 2¹ × 7¹ × 5737¹ × 3¹ × 61¹ × 439¹
LCM(80318,80337) = 6452507166