What is the Least Common Multiple of 91731 and 91743?

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 91731 and 91743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91731 and 91743, than apply into the LCM equation.

GCF(91731,91743) = 3
LCM(91731,91743) = ( 91731 × 91743) / 3
LCM(91731,91743) = 8415677133 / 3
LCM(91731,91743) = 2805225711

Least Common Multiple (LCM) of 91731 and 91743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91731 and 91743. First we will calculate the prime factors of 91731 and 91743.

Prime Factorization of 91731

Prime Factorization of 91743

Now multiplying the highest exponent prime factors to calculate the LCM of 91731 and 91743.

LCM(91731,91743) = 3¹ × 30577¹ × 53¹ × 577¹
LCM(91731,91743) = 2805225711