What is the Least Common Multiple of 41751 and 41767?

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 41751 and 41767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41751 and 41767, than apply into the LCM equation.

GCF(41751,41767) = 1
LCM(41751,41767) = ( 41751 × 41767) / 1
LCM(41751,41767) = 1743814017 / 1
LCM(41751,41767) = 1743814017

Least Common Multiple (LCM) of 41751 and 41767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41751 and 41767. First we will calculate the prime factors of 41751 and 41767.

Prime Factorization of 41751

Prime Factorization of 41767

Now multiplying the highest exponent prime factors to calculate the LCM of 41751 and 41767.

LCM(41751,41767) = 3² × 4639¹ × 11¹ × 3797¹
LCM(41751,41767) = 1743814017