What is the Least Common Multiple of 70016 and 70036?

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 70016 and 70036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70016 and 70036, than apply into the LCM equation.

GCF(70016,70036) = 4
LCM(70016,70036) = ( 70016 × 70036) / 4
LCM(70016,70036) = 4903640576 / 4
LCM(70016,70036) = 1225910144

Least Common Multiple (LCM) of 70016 and 70036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70016 and 70036. First we will calculate the prime factors of 70016 and 70036.

Prime Factorization of 70016

Prime Factorization of 70036

Now multiplying the highest exponent prime factors to calculate the LCM of 70016 and 70036.

LCM(70016,70036) = 2⁷ × 547¹ × 17509¹
LCM(70016,70036) = 1225910144