What is the Least Common Multiple of 91701 and 91713?

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 91701 and 91713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91701 and 91713, than apply into the LCM equation.

GCF(91701,91713) = 3
LCM(91701,91713) = ( 91701 × 91713) / 3
LCM(91701,91713) = 8410173813 / 3
LCM(91701,91713) = 2803391271

Least Common Multiple (LCM) of 91701 and 91713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91701 and 91713. First we will calculate the prime factors of 91701 and 91713.

Prime Factorization of 91701

Prime Factorization of 91713

Now multiplying the highest exponent prime factors to calculate the LCM of 91701 and 91713.

LCM(91701,91713) = 3² × 23¹ × 443¹ × 19¹ × 1609¹
LCM(91701,91713) = 2803391271