What is the Least Common Multiple of 41146 and 41152?

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 41146 and 41152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41146 and 41152, than apply into the LCM equation.

GCF(41146,41152) = 2
LCM(41146,41152) = ( 41146 × 41152) / 2
LCM(41146,41152) = 1693240192 / 2
LCM(41146,41152) = 846620096

Least Common Multiple (LCM) of 41146 and 41152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41146 and 41152. First we will calculate the prime factors of 41146 and 41152.

Prime Factorization of 41146

Prime Factorization of 41152

Now multiplying the highest exponent prime factors to calculate the LCM of 41146 and 41152.

LCM(41146,41152) = 2⁶ × 7¹ × 2939¹ × 643¹
LCM(41146,41152) = 846620096