What is the Least Common Multiple of 71313 and 71327?

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 71313 and 71327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71313 and 71327, than apply into the LCM equation.

GCF(71313,71327) = 1
LCM(71313,71327) = ( 71313 × 71327) / 1
LCM(71313,71327) = 5086542351 / 1
LCM(71313,71327) = 5086542351

Least Common Multiple (LCM) of 71313 and 71327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71313 and 71327. First we will calculate the prime factors of 71313 and 71327.

Prime Factorization of 71313

Prime Factorization of 71327

Now multiplying the highest exponent prime factors to calculate the LCM of 71313 and 71327.

LCM(71313,71327) = 3¹ × 11¹ × 2161¹ × 71327¹
LCM(71313,71327) = 5086542351