What is the Least Common Multiple of 34891 and 34897?

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 34891 and 34897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34891 and 34897, than apply into the LCM equation.

GCF(34891,34897) = 1
LCM(34891,34897) = ( 34891 × 34897) / 1
LCM(34891,34897) = 1217591227 / 1
LCM(34891,34897) = 1217591227

Least Common Multiple (LCM) of 34891 and 34897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34891 and 34897. First we will calculate the prime factors of 34891 and 34897.

Prime Factorization of 34891

Prime Factorization of 34897

Now multiplying the highest exponent prime factors to calculate the LCM of 34891 and 34897.

LCM(34891,34897) = 23¹ × 37¹ × 41¹ × 34897¹
LCM(34891,34897) = 1217591227