What is the Least Common Multiple of 70038 and 70056?

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 70038 and 70056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70038 and 70056, than apply into the LCM equation.

GCF(70038,70056) = 18
LCM(70038,70056) = ( 70038 × 70056) / 18
LCM(70038,70056) = 4906582128 / 18
LCM(70038,70056) = 272587896

Least Common Multiple (LCM) of 70038 and 70056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70038 and 70056. First we will calculate the prime factors of 70038 and 70056.

Prime Factorization of 70038

Prime Factorization of 70056

Now multiplying the highest exponent prime factors to calculate the LCM of 70038 and 70056.

LCM(70038,70056) = 2³ × 3³ × 1297¹ × 7¹ × 139¹
LCM(70038,70056) = 272587896