What is the Least Common Multiple of 34875 and 34891?

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 34875 and 34891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34875 and 34891, than apply into the LCM equation.

GCF(34875,34891) = 1
LCM(34875,34891) = ( 34875 × 34891) / 1
LCM(34875,34891) = 1216823625 / 1
LCM(34875,34891) = 1216823625

Least Common Multiple (LCM) of 34875 and 34891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34875 and 34891. First we will calculate the prime factors of 34875 and 34891.

Prime Factorization of 34875

Prime Factorization of 34891

Now multiplying the highest exponent prime factors to calculate the LCM of 34875 and 34891.

LCM(34875,34891) = 3² × 5³ × 31¹ × 23¹ × 37¹ × 41¹
LCM(34875,34891) = 1216823625