What is the Least Common Multiple of 60311 and 60326?

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 60311 and 60326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60311 and 60326, than apply into the LCM equation.

GCF(60311,60326) = 1
LCM(60311,60326) = ( 60311 × 60326) / 1
LCM(60311,60326) = 3638321386 / 1
LCM(60311,60326) = 3638321386

Least Common Multiple (LCM) of 60311 and 60326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60311 and 60326. First we will calculate the prime factors of 60311 and 60326.

Prime Factorization of 60311

Prime Factorization of 60326

Now multiplying the highest exponent prime factors to calculate the LCM of 60311 and 60326.

LCM(60311,60326) = 41¹ × 1471¹ × 2¹ × 7¹ × 31¹ × 139¹
LCM(60311,60326) = 3638321386