What is the Least Common Multiple of 71016 and 71036?

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 71016 and 71036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71016 and 71036, than apply into the LCM equation.

GCF(71016,71036) = 4
LCM(71016,71036) = ( 71016 × 71036) / 4
LCM(71016,71036) = 5044692576 / 4
LCM(71016,71036) = 1261173144

Least Common Multiple (LCM) of 71016 and 71036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71016 and 71036. First we will calculate the prime factors of 71016 and 71036.

Prime Factorization of 71016

Prime Factorization of 71036

Now multiplying the highest exponent prime factors to calculate the LCM of 71016 and 71036.

LCM(71016,71036) = 2³ × 3¹ × 11¹ × 269¹ × 7¹ × 43¹ × 59¹
LCM(71016,71036) = 1261173144