What is the Least Common Multiple of 91743 and 91758?

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 91758 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 91758, than apply into the LCM equation.

GCF(91743,91758) = 3
LCM(91743,91758) = ( 91743 × 91758) / 3
LCM(91743,91758) = 8418154194 / 3
LCM(91743,91758) = 2806051398

Least Common Multiple (LCM) of 91743 and 91758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91743 and 91758. First we will calculate the prime factors of 91743 and 91758.

Prime Factorization of 91743

Prime Factorization of 91758

Now multiplying the highest exponent prime factors to calculate the LCM of 91743 and 91758.

LCM(91743,91758) = 3¹ × 53¹ × 577¹ × 2¹ × 41¹ × 373¹
LCM(91743,91758) = 2806051398