What is the Least Common Multiple of 80006 and 80024?

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 80006 and 80024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80006 and 80024, than apply into the LCM equation.

GCF(80006,80024) = 2
LCM(80006,80024) = ( 80006 × 80024) / 2
LCM(80006,80024) = 6402400144 / 2
LCM(80006,80024) = 3201200072

Least Common Multiple (LCM) of 80006 and 80024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80006 and 80024. First we will calculate the prime factors of 80006 and 80024.

Prime Factorization of 80006

Prime Factorization of 80024

Now multiplying the highest exponent prime factors to calculate the LCM of 80006 and 80024.

LCM(80006,80024) = 2³ × 109¹ × 367¹ × 7¹ × 1429¹
LCM(80006,80024) = 3201200072