What is the Least Common Multiple of 71026 and 71032?

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 71026 and 71032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71026 and 71032, than apply into the LCM equation.

GCF(71026,71032) = 2
LCM(71026,71032) = ( 71026 × 71032) / 2
LCM(71026,71032) = 5045118832 / 2
LCM(71026,71032) = 2522559416

Least Common Multiple (LCM) of 71026 and 71032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71026 and 71032. First we will calculate the prime factors of 71026 and 71032.

Prime Factorization of 71026

Prime Factorization of 71032

Now multiplying the highest exponent prime factors to calculate the LCM of 71026 and 71032.

LCM(71026,71032) = 2³ × 17¹ × 2089¹ × 13¹ × 683¹
LCM(71026,71032) = 2522559416