What is the Least Common Multiple of 41736 and 41752?

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 41736 and 41752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41736 and 41752, than apply into the LCM equation.

GCF(41736,41752) = 8
LCM(41736,41752) = ( 41736 × 41752) / 8
LCM(41736,41752) = 1742561472 / 8
LCM(41736,41752) = 217820184

Least Common Multiple (LCM) of 41736 and 41752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41736 and 41752. First we will calculate the prime factors of 41736 and 41752.

Prime Factorization of 41736

Prime Factorization of 41752

Now multiplying the highest exponent prime factors to calculate the LCM of 41736 and 41752.

LCM(41736,41752) = 2³ × 3¹ × 37¹ × 47¹ × 17¹ × 307¹
LCM(41736,41752) = 217820184