What is the Least Common Multiple of 71913 and 71917?

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 71913 and 71917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71913 and 71917, than apply into the LCM equation.

GCF(71913,71917) = 1
LCM(71913,71917) = ( 71913 × 71917) / 1
LCM(71913,71917) = 5171767221 / 1
LCM(71913,71917) = 5171767221

Least Common Multiple (LCM) of 71913 and 71917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71913 and 71917. First we will calculate the prime factors of 71913 and 71917.

Prime Factorization of 71913

Prime Factorization of 71917

Now multiplying the highest exponent prime factors to calculate the LCM of 71913 and 71917.

LCM(71913,71917) = 3¹ × 23971¹ × 71917¹
LCM(71913,71917) = 5171767221