What is the Least Common Multiple of 60237 and 60257?

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 60237 and 60257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60237 and 60257, than apply into the LCM equation.

GCF(60237,60257) = 1
LCM(60237,60257) = ( 60237 × 60257) / 1
LCM(60237,60257) = 3629700909 / 1
LCM(60237,60257) = 3629700909

Least Common Multiple (LCM) of 60237 and 60257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60237 and 60257. First we will calculate the prime factors of 60237 and 60257.

Prime Factorization of 60237

Prime Factorization of 60257

Now multiplying the highest exponent prime factors to calculate the LCM of 60237 and 60257.

LCM(60237,60257) = 3³ × 23¹ × 97¹ × 60257¹
LCM(60237,60257) = 3629700909