What is the Least Common Multiple of 55321 and 55339?

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 55321 and 55339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55321 and 55339, than apply into the LCM equation.

GCF(55321,55339) = 1
LCM(55321,55339) = ( 55321 × 55339) / 1
LCM(55321,55339) = 3061408819 / 1
LCM(55321,55339) = 3061408819

Least Common Multiple (LCM) of 55321 and 55339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55321 and 55339. First we will calculate the prime factors of 55321 and 55339.

Prime Factorization of 55321

Prime Factorization of 55339

Now multiplying the highest exponent prime factors to calculate the LCM of 55321 and 55339.

LCM(55321,55339) = 7² × 1129¹ × 55339¹
LCM(55321,55339) = 3061408819