What is the Least Common Multiple of 71016 and 71027?

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 71027 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 71027, than apply into the LCM equation.

GCF(71016,71027) = 11
LCM(71016,71027) = ( 71016 × 71027) / 11
LCM(71016,71027) = 5044053432 / 11
LCM(71016,71027) = 458550312

Least Common Multiple (LCM) of 71016 and 71027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71016 and 71027. First we will calculate the prime factors of 71016 and 71027.

Prime Factorization of 71016

Prime Factorization of 71027

Now multiplying the highest exponent prime factors to calculate the LCM of 71016 and 71027.

LCM(71016,71027) = 2³ × 3¹ × 11² × 269¹ × 587¹
LCM(71016,71027) = 458550312