What is the Least Common Multiple of 91713 and 91722?

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 91713 and 91722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91713 and 91722, than apply into the LCM equation.

GCF(91713,91722) = 3
LCM(91713,91722) = ( 91713 × 91722) / 3
LCM(91713,91722) = 8412099786 / 3
LCM(91713,91722) = 2804033262

Least Common Multiple (LCM) of 91713 and 91722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91713 and 91722. First we will calculate the prime factors of 91713 and 91722.

Prime Factorization of 91713

Prime Factorization of 91722

Now multiplying the highest exponent prime factors to calculate the LCM of 91713 and 91722.

LCM(91713,91722) = 3¹ × 19¹ × 1609¹ × 2¹ × 15287¹
LCM(91713,91722) = 2804033262