What is the Least Common Multiple of 40160 and 40165?

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 40160 and 40165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40160 and 40165, than apply into the LCM equation.

GCF(40160,40165) = 5
LCM(40160,40165) = ( 40160 × 40165) / 5
LCM(40160,40165) = 1613026400 / 5
LCM(40160,40165) = 322605280

Least Common Multiple (LCM) of 40160 and 40165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40160 and 40165. First we will calculate the prime factors of 40160 and 40165.

Prime Factorization of 40160

Prime Factorization of 40165

Now multiplying the highest exponent prime factors to calculate the LCM of 40160 and 40165.

LCM(40160,40165) = 2⁵ × 5¹ × 251¹ × 29¹ × 277¹
LCM(40160,40165) = 322605280