What is the Least Common Multiple of 40178 and 40191?

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 40178 and 40191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40178 and 40191, than apply into the LCM equation.

GCF(40178,40191) = 1
LCM(40178,40191) = ( 40178 × 40191) / 1
LCM(40178,40191) = 1614793998 / 1
LCM(40178,40191) = 1614793998

Least Common Multiple (LCM) of 40178 and 40191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40178 and 40191. First we will calculate the prime factors of 40178 and 40191.

Prime Factorization of 40178

Prime Factorization of 40191

Now multiplying the highest exponent prime factors to calculate the LCM of 40178 and 40191.

LCM(40178,40191) = 2¹ × 20089¹ × 3¹ × 13397¹
LCM(40178,40191) = 1614793998