What is the Least Common Multiple of 60257 and 60268?

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 60257 and 60268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60257 and 60268, than apply into the LCM equation.

GCF(60257,60268) = 1
LCM(60257,60268) = ( 60257 × 60268) / 1
LCM(60257,60268) = 3631568876 / 1
LCM(60257,60268) = 3631568876

Least Common Multiple (LCM) of 60257 and 60268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60257 and 60268. First we will calculate the prime factors of 60257 and 60268.

Prime Factorization of 60257

Prime Factorization of 60268

Now multiplying the highest exponent prime factors to calculate the LCM of 60257 and 60268.

LCM(60257,60268) = 60257¹ × 2² × 13¹ × 19¹ × 61¹
LCM(60257,60268) = 3631568876