What is the Least Common Multiple of 99006 and 99024?

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 99006 and 99024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99006 and 99024, than apply into the LCM equation.

GCF(99006,99024) = 6
LCM(99006,99024) = ( 99006 × 99024) / 6
LCM(99006,99024) = 9803970144 / 6
LCM(99006,99024) = 1633995024

Least Common Multiple (LCM) of 99006 and 99024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99006 and 99024. First we will calculate the prime factors of 99006 and 99024.

Prime Factorization of 99006

Prime Factorization of 99024

Now multiplying the highest exponent prime factors to calculate the LCM of 99006 and 99024.

LCM(99006,99024) = 2⁴ × 3¹ × 29¹ × 569¹ × 2063¹
LCM(99006,99024) = 1633995024