What is the Least Common Multiple of 40190 and 40195?

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 40190 and 40195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40190 and 40195, than apply into the LCM equation.

GCF(40190,40195) = 5
LCM(40190,40195) = ( 40190 × 40195) / 5
LCM(40190,40195) = 1615437050 / 5
LCM(40190,40195) = 323087410

Least Common Multiple (LCM) of 40190 and 40195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40190 and 40195. First we will calculate the prime factors of 40190 and 40195.

Prime Factorization of 40190

Prime Factorization of 40195

Now multiplying the highest exponent prime factors to calculate the LCM of 40190 and 40195.

LCM(40190,40195) = 2¹ × 5¹ × 4019¹ × 8039¹
LCM(40190,40195) = 323087410