What is the Least Common Multiple of 71586 and 71598?

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 71586 and 71598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71586 and 71598, than apply into the LCM equation.

GCF(71586,71598) = 6
LCM(71586,71598) = ( 71586 × 71598) / 6
LCM(71586,71598) = 5125414428 / 6
LCM(71586,71598) = 854235738

Least Common Multiple (LCM) of 71586 and 71598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71586 and 71598. First we will calculate the prime factors of 71586 and 71598.

Prime Factorization of 71586

Prime Factorization of 71598

Now multiplying the highest exponent prime factors to calculate the LCM of 71586 and 71598.

LCM(71586,71598) = 2¹ × 3² × 41¹ × 97¹ × 11933¹
LCM(71586,71598) = 854235738