What is the Least Common Multiple of 75898 and 75911?

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 75898 and 75911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75898 and 75911, than apply into the LCM equation.

GCF(75898,75911) = 1
LCM(75898,75911) = ( 75898 × 75911) / 1
LCM(75898,75911) = 5761493078 / 1
LCM(75898,75911) = 5761493078

Least Common Multiple (LCM) of 75898 and 75911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75898 and 75911. First we will calculate the prime factors of 75898 and 75911.

Prime Factorization of 75898

Prime Factorization of 75911

Now multiplying the highest exponent prime factors to calculate the LCM of 75898 and 75911.

LCM(75898,75911) = 2¹ × 137¹ × 277¹ × 11¹ × 67¹ × 103¹
LCM(75898,75911) = 5761493078