What is the Least Common Multiple of 71313 and 71333?

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 71333 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 71333, than apply into the LCM equation.

GCF(71313,71333) = 1
LCM(71313,71333) = ( 71313 × 71333) / 1
LCM(71313,71333) = 5086970229 / 1
LCM(71313,71333) = 5086970229

Least Common Multiple (LCM) of 71313 and 71333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71313 and 71333. First we will calculate the prime factors of 71313 and 71333.

Prime Factorization of 71313

Prime Factorization of 71333

Now multiplying the highest exponent prime factors to calculate the LCM of 71313 and 71333.

LCM(71313,71333) = 3¹ × 11¹ × 2161¹ × 71333¹
LCM(71313,71333) = 5086970229