What is the Least Common Multiple of 60309 and 60323?

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 60309 and 60323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60309 and 60323, than apply into the LCM equation.

GCF(60309,60323) = 1
LCM(60309,60323) = ( 60309 × 60323) / 1
LCM(60309,60323) = 3638019807 / 1
LCM(60309,60323) = 3638019807

Least Common Multiple (LCM) of 60309 and 60323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60309 and 60323. First we will calculate the prime factors of 60309 and 60323.

Prime Factorization of 60309

Prime Factorization of 60323

Now multiplying the highest exponent prime factors to calculate the LCM of 60309 and 60323.

LCM(60309,60323) = 3² × 6701¹ × 179¹ × 337¹
LCM(60309,60323) = 3638019807