What is the Least Common Multiple of 60891 and 60897?

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 60891 and 60897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60891 and 60897, than apply into the LCM equation.

GCF(60891,60897) = 3
LCM(60891,60897) = ( 60891 × 60897) / 3
LCM(60891,60897) = 3708079227 / 3
LCM(60891,60897) = 1236026409

Least Common Multiple (LCM) of 60891 and 60897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60891 and 60897. First we will calculate the prime factors of 60891 and 60897.

Prime Factorization of 60891

Prime Factorization of 60897

Now multiplying the highest exponent prime factors to calculate the LCM of 60891 and 60897.

LCM(60891,60897) = 3¹ × 20297¹ × 53¹ × 383¹
LCM(60891,60897) = 1236026409