What is the Least Common Multiple of 71008 and 71016?

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 71008 and 71016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71008 and 71016, than apply into the LCM equation.

GCF(71008,71016) = 8
LCM(71008,71016) = ( 71008 × 71016) / 8
LCM(71008,71016) = 5042704128 / 8
LCM(71008,71016) = 630338016

Least Common Multiple (LCM) of 71008 and 71016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71008 and 71016. First we will calculate the prime factors of 71008 and 71016.

Prime Factorization of 71008

Prime Factorization of 71016

Now multiplying the highest exponent prime factors to calculate the LCM of 71008 and 71016.

LCM(71008,71016) = 2⁵ × 7¹ × 317¹ × 3¹ × 11¹ × 269¹
LCM(71008,71016) = 630338016