What is the Least Common Multiple of 71014 and 71022?

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 71014 and 71022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71014 and 71022, than apply into the LCM equation.

GCF(71014,71022) = 2
LCM(71014,71022) = ( 71014 × 71022) / 2
LCM(71014,71022) = 5043556308 / 2
LCM(71014,71022) = 2521778154

Least Common Multiple (LCM) of 71014 and 71022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71014 and 71022. First we will calculate the prime factors of 71014 and 71022.

Prime Factorization of 71014

Prime Factorization of 71022

Now multiplying the highest exponent prime factors to calculate the LCM of 71014 and 71022.

LCM(71014,71022) = 2¹ × 35507¹ × 3¹ × 7¹ × 19¹ × 89¹
LCM(71014,71022) = 2521778154