What is the Least Common Multiple of 71009 and 71026?

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 71009 and 71026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71009 and 71026, than apply into the LCM equation.

GCF(71009,71026) = 17
LCM(71009,71026) = ( 71009 × 71026) / 17
LCM(71009,71026) = 5043485234 / 17
LCM(71009,71026) = 296675602

Least Common Multiple (LCM) of 71009 and 71026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71009 and 71026. First we will calculate the prime factors of 71009 and 71026.

Prime Factorization of 71009

Prime Factorization of 71026

Now multiplying the highest exponent prime factors to calculate the LCM of 71009 and 71026.

LCM(71009,71026) = 17¹ × 4177¹ × 2¹ × 2089¹
LCM(71009,71026) = 296675602