What is the Least Common Multiple of 56006 and 56024?

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 56006 and 56024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56006 and 56024, than apply into the LCM equation.

GCF(56006,56024) = 2
LCM(56006,56024) = ( 56006 × 56024) / 2
LCM(56006,56024) = 3137680144 / 2
LCM(56006,56024) = 1568840072

Least Common Multiple (LCM) of 56006 and 56024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56006 and 56024. First we will calculate the prime factors of 56006 and 56024.

Prime Factorization of 56006

Prime Factorization of 56024

Now multiplying the highest exponent prime factors to calculate the LCM of 56006 and 56024.

LCM(56006,56024) = 2³ × 41¹ × 683¹ × 47¹ × 149¹
LCM(56006,56024) = 1568840072