What is the Least Common Multiple of 40160 and 40175?

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 40175 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 40175, than apply into the LCM equation.

GCF(40160,40175) = 5
LCM(40160,40175) = ( 40160 × 40175) / 5
LCM(40160,40175) = 1613428000 / 5
LCM(40160,40175) = 322685600

Least Common Multiple (LCM) of 40160 and 40175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40160 and 40175. First we will calculate the prime factors of 40160 and 40175.

Prime Factorization of 40160

Prime Factorization of 40175

Now multiplying the highest exponent prime factors to calculate the LCM of 40160 and 40175.

LCM(40160,40175) = 2⁵ × 5² × 251¹ × 1607¹
LCM(40160,40175) = 322685600