What is the Least Common Multiple of 95909 and 95913?

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 95909 and 95913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95909 and 95913, than apply into the LCM equation.

GCF(95909,95913) = 1
LCM(95909,95913) = ( 95909 × 95913) / 1
LCM(95909,95913) = 9198919917 / 1
LCM(95909,95913) = 9198919917

Least Common Multiple (LCM) of 95909 and 95913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95909 and 95913. First we will calculate the prime factors of 95909 and 95913.

Prime Factorization of 95909

Prime Factorization of 95913

Now multiplying the highest exponent prime factors to calculate the LCM of 95909 and 95913.

LCM(95909,95913) = 11¹ × 8719¹ × 3² × 10657¹
LCM(95909,95913) = 9198919917