What is the Least Common Multiple of 71906 and 71911?

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 71906 and 71911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71906 and 71911, than apply into the LCM equation.

GCF(71906,71911) = 1
LCM(71906,71911) = ( 71906 × 71911) / 1
LCM(71906,71911) = 5170832366 / 1
LCM(71906,71911) = 5170832366

Least Common Multiple (LCM) of 71906 and 71911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71906 and 71911. First we will calculate the prime factors of 71906 and 71911.

Prime Factorization of 71906

Prime Factorization of 71911

Now multiplying the highest exponent prime factors to calculate the LCM of 71906 and 71911.

LCM(71906,71911) = 2¹ × 157¹ × 229¹ × 7¹ × 10273¹
LCM(71906,71911) = 5170832366