What is the Least Common Multiple of 95713 and 95729?

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 95713 and 95729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95713 and 95729, than apply into the LCM equation.

GCF(95713,95729) = 1
LCM(95713,95729) = ( 95713 × 95729) / 1
LCM(95713,95729) = 9162509777 / 1
LCM(95713,95729) = 9162509777

Least Common Multiple (LCM) of 95713 and 95729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95713 and 95729. First we will calculate the prime factors of 95713 and 95729.

Prime Factorization of 95713

Prime Factorization of 95729

Now multiplying the highest exponent prime factors to calculate the LCM of 95713 and 95729.

LCM(95713,95729) = 95713¹ × 29¹ × 3301¹
LCM(95713,95729) = 9162509777