What is the Least Common Multiple of 91743 and 91752?

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 91743 and 91752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91743 and 91752, than apply into the LCM equation.

GCF(91743,91752) = 3
LCM(91743,91752) = ( 91743 × 91752) / 3
LCM(91743,91752) = 8417603736 / 3
LCM(91743,91752) = 2805867912

Least Common Multiple (LCM) of 91743 and 91752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91743 and 91752. First we will calculate the prime factors of 91743 and 91752.

Prime Factorization of 91743

Prime Factorization of 91752

Now multiplying the highest exponent prime factors to calculate the LCM of 91743 and 91752.

LCM(91743,91752) = 3¹ × 53¹ × 577¹ × 2³ × 3823¹
LCM(91743,91752) = 2805867912