What is the Least Common Multiple of 71016 and 71031?

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 71031 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 71031, than apply into the LCM equation.

GCF(71016,71031) = 3
LCM(71016,71031) = ( 71016 × 71031) / 3
LCM(71016,71031) = 5044337496 / 3
LCM(71016,71031) = 1681445832

Least Common Multiple (LCM) of 71016 and 71031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71016 and 71031. First we will calculate the prime factors of 71016 and 71031.

Prime Factorization of 71016

Prime Factorization of 71031

Now multiplying the highest exponent prime factors to calculate the LCM of 71016 and 71031.

LCM(71016,71031) = 2³ × 3¹ × 11¹ × 269¹ × 23677¹
LCM(71016,71031) = 1681445832