What is the Least Common Multiple of 95508 and 95517?

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 95508 and 95517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95508 and 95517, than apply into the LCM equation.

GCF(95508,95517) = 9
LCM(95508,95517) = ( 95508 × 95517) / 9
LCM(95508,95517) = 9122637636 / 9
LCM(95508,95517) = 1013626404

Least Common Multiple (LCM) of 95508 and 95517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95508 and 95517. First we will calculate the prime factors of 95508 and 95517.

Prime Factorization of 95508

Prime Factorization of 95517

Now multiplying the highest exponent prime factors to calculate the LCM of 95508 and 95517.

LCM(95508,95517) = 2² × 3² × 7¹ × 379¹ × 10613¹
LCM(95508,95517) = 1013626404