What is the Least Common Multiple of 41180 and 41192?

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 41180 and 41192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41180 and 41192, than apply into the LCM equation.

GCF(41180,41192) = 4
LCM(41180,41192) = ( 41180 × 41192) / 4
LCM(41180,41192) = 1696286560 / 4
LCM(41180,41192) = 424071640

Least Common Multiple (LCM) of 41180 and 41192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41180 and 41192. First we will calculate the prime factors of 41180 and 41192.

Prime Factorization of 41180

Prime Factorization of 41192

Now multiplying the highest exponent prime factors to calculate the LCM of 41180 and 41192.

LCM(41180,41192) = 2³ × 5¹ × 29¹ × 71¹ × 19¹ × 271¹
LCM(41180,41192) = 424071640