What is the Least Common Multiple of 70008 and 70024?

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 70008 and 70024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70008 and 70024, than apply into the LCM equation.

GCF(70008,70024) = 8
LCM(70008,70024) = ( 70008 × 70024) / 8
LCM(70008,70024) = 4902240192 / 8
LCM(70008,70024) = 612780024

Least Common Multiple (LCM) of 70008 and 70024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70008 and 70024. First we will calculate the prime factors of 70008 and 70024.

Prime Factorization of 70008

Prime Factorization of 70024

Now multiplying the highest exponent prime factors to calculate the LCM of 70008 and 70024.

LCM(70008,70024) = 2³ × 3¹ × 2917¹ × 8753¹
LCM(70008,70024) = 612780024