What is the Least Common Multiple of 40175 and 40180?

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 40175 and 40180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40175 and 40180, than apply into the LCM equation.

GCF(40175,40180) = 5
LCM(40175,40180) = ( 40175 × 40180) / 5
LCM(40175,40180) = 1614231500 / 5
LCM(40175,40180) = 322846300

Least Common Multiple (LCM) of 40175 and 40180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40175 and 40180. First we will calculate the prime factors of 40175 and 40180.

Prime Factorization of 40175

Prime Factorization of 40180

Now multiplying the highest exponent prime factors to calculate the LCM of 40175 and 40180.

LCM(40175,40180) = 5² × 1607¹ × 2² × 7² × 41¹
LCM(40175,40180) = 322846300