What is the Least Common Multiple of 88004 and 88024?

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 88004 and 88024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88004 and 88024, than apply into the LCM equation.

GCF(88004,88024) = 4
LCM(88004,88024) = ( 88004 × 88024) / 4
LCM(88004,88024) = 7746464096 / 4
LCM(88004,88024) = 1936616024

Least Common Multiple (LCM) of 88004 and 88024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88004 and 88024. First we will calculate the prime factors of 88004 and 88024.

Prime Factorization of 88004

Prime Factorization of 88024

Now multiplying the highest exponent prime factors to calculate the LCM of 88004 and 88024.

LCM(88004,88024) = 2³ × 7² × 449¹ × 11003¹
LCM(88004,88024) = 1936616024