What is the Least Common Multiple of 70024 and 70038?

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 70024 and 70038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70024 and 70038, than apply into the LCM equation.

GCF(70024,70038) = 2
LCM(70024,70038) = ( 70024 × 70038) / 2
LCM(70024,70038) = 4904340912 / 2
LCM(70024,70038) = 2452170456

Least Common Multiple (LCM) of 70024 and 70038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70024 and 70038. First we will calculate the prime factors of 70024 and 70038.

Prime Factorization of 70024

Prime Factorization of 70038

Now multiplying the highest exponent prime factors to calculate the LCM of 70024 and 70038.

LCM(70024,70038) = 2³ × 8753¹ × 3³ × 1297¹
LCM(70024,70038) = 2452170456