What is the Least Common Multiple of 40168 and 40182?

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 40168 and 40182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40168 and 40182, than apply into the LCM equation.

GCF(40168,40182) = 2
LCM(40168,40182) = ( 40168 × 40182) / 2
LCM(40168,40182) = 1614030576 / 2
LCM(40168,40182) = 807015288

Least Common Multiple (LCM) of 40168 and 40182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40168 and 40182. First we will calculate the prime factors of 40168 and 40182.

Prime Factorization of 40168

Prime Factorization of 40182

Now multiplying the highest exponent prime factors to calculate the LCM of 40168 and 40182.

LCM(40168,40182) = 2³ × 5021¹ × 3¹ × 37¹ × 181¹
LCM(40168,40182) = 807015288