What is the Least Common Multiple of 99625 and 99631?

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 99625 and 99631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99625 and 99631, than apply into the LCM equation.

GCF(99625,99631) = 1
LCM(99625,99631) = ( 99625 × 99631) / 1
LCM(99625,99631) = 9925738375 / 1
LCM(99625,99631) = 9925738375

Least Common Multiple (LCM) of 99625 and 99631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99625 and 99631. First we will calculate the prime factors of 99625 and 99631.

Prime Factorization of 99625

Prime Factorization of 99631

Now multiplying the highest exponent prime factors to calculate the LCM of 99625 and 99631.

LCM(99625,99631) = 5³ × 797¹ × 7¹ × 43¹ × 331¹
LCM(99625,99631) = 9925738375