What is the Least Common Multiple of 99610 and 99625?

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 99610 and 99625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99610 and 99625, than apply into the LCM equation.

GCF(99610,99625) = 5
LCM(99610,99625) = ( 99610 × 99625) / 5
LCM(99610,99625) = 9923646250 / 5
LCM(99610,99625) = 1984729250

Least Common Multiple (LCM) of 99610 and 99625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99610 and 99625. First we will calculate the prime factors of 99610 and 99625.

Prime Factorization of 99610

Prime Factorization of 99625

Now multiplying the highest exponent prime factors to calculate the LCM of 99610 and 99625.

LCM(99610,99625) = 2¹ × 5³ × 7¹ × 1423¹ × 797¹
LCM(99610,99625) = 1984729250