What is the Least Common Multiple of 95509 and 95513?

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 95509 and 95513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95509 and 95513, than apply into the LCM equation.

GCF(95509,95513) = 1
LCM(95509,95513) = ( 95509 × 95513) / 1
LCM(95509,95513) = 9122351117 / 1
LCM(95509,95513) = 9122351117

Least Common Multiple (LCM) of 95509 and 95513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95509 and 95513. First we will calculate the prime factors of 95509 and 95513.

Prime Factorization of 95509

Prime Factorization of 95513

Now multiplying the highest exponent prime factors to calculate the LCM of 95509 and 95513.

LCM(95509,95513) = 149¹ × 641¹ × 11¹ × 19¹ × 457¹
LCM(95509,95513) = 9122351117