What is the Least Common Multiple of 41736 and 41749?

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 41749 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 41749, than apply into the LCM equation.

GCF(41736,41749) = 1
LCM(41736,41749) = ( 41736 × 41749) / 1
LCM(41736,41749) = 1742436264 / 1
LCM(41736,41749) = 1742436264

Least Common Multiple (LCM) of 41736 and 41749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41736 and 41749. First we will calculate the prime factors of 41736 and 41749.

Prime Factorization of 41736

Prime Factorization of 41749

Now multiplying the highest exponent prime factors to calculate the LCM of 41736 and 41749.

LCM(41736,41749) = 2³ × 3¹ × 37¹ × 47¹ × 83¹ × 503¹
LCM(41736,41749) = 1742436264