What is the Least Common Multiple of 5321 and 5339?

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 5321 and 5339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5321 and 5339, than apply into the LCM equation.

GCF(5321,5339) = 1
LCM(5321,5339) = ( 5321 × 5339) / 1
LCM(5321,5339) = 28408819 / 1
LCM(5321,5339) = 28408819

Least Common Multiple (LCM) of 5321 and 5339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5321 and 5339. First we will calculate the prime factors of 5321 and 5339.

Prime Factorization of 5321

Prime Factorization of 5339

Now multiplying the highest exponent prime factors to calculate the LCM of 5321 and 5339.

LCM(5321,5339) = 17¹ × 313¹ × 19¹ × 281¹
LCM(5321,5339) = 28408819