What is the Least Common Multiple of 71307 and 71326?

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 71307 and 71326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71307 and 71326, than apply into the LCM equation.

GCF(71307,71326) = 19
LCM(71307,71326) = ( 71307 × 71326) / 19
LCM(71307,71326) = 5086043082 / 19
LCM(71307,71326) = 267686478

Least Common Multiple (LCM) of 71307 and 71326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71307 and 71326. First we will calculate the prime factors of 71307 and 71326.

Prime Factorization of 71307

Prime Factorization of 71326

Now multiplying the highest exponent prime factors to calculate the LCM of 71307 and 71326.

LCM(71307,71326) = 3³ × 19¹ × 139¹ × 2¹ × 1877¹
LCM(71307,71326) = 267686478