What is the Least Common Multiple of 99008 and 99025?

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 99008 and 99025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99008 and 99025, than apply into the LCM equation.

GCF(99008,99025) = 17
LCM(99008,99025) = ( 99008 × 99025) / 17
LCM(99008,99025) = 9804267200 / 17
LCM(99008,99025) = 576721600

Least Common Multiple (LCM) of 99008 and 99025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99008 and 99025. First we will calculate the prime factors of 99008 and 99025.

Prime Factorization of 99008

Prime Factorization of 99025

Now multiplying the highest exponent prime factors to calculate the LCM of 99008 and 99025.

LCM(99008,99025) = 2⁶ × 7¹ × 13¹ × 17¹ × 5² × 233¹
LCM(99008,99025) = 576721600