What is the Least Common Multiple of 17824 and 17828?

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 17824 and 17828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17824 and 17828, than apply into the LCM equation.

GCF(17824,17828) = 4
LCM(17824,17828) = ( 17824 × 17828) / 4
LCM(17824,17828) = 317766272 / 4
LCM(17824,17828) = 79441568

Least Common Multiple (LCM) of 17824 and 17828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17824 and 17828. First we will calculate the prime factors of 17824 and 17828.

Prime Factorization of 17824

Prime Factorization of 17828

Now multiplying the highest exponent prime factors to calculate the LCM of 17824 and 17828.

LCM(17824,17828) = 2⁵ × 557¹ × 4457¹
LCM(17824,17828) = 79441568