What is the Least Common Multiple of 58328 and 58339?

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 58328 and 58339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58328 and 58339, than apply into the LCM equation.

GCF(58328,58339) = 1
LCM(58328,58339) = ( 58328 × 58339) / 1
LCM(58328,58339) = 3402797192 / 1
LCM(58328,58339) = 3402797192

Least Common Multiple (LCM) of 58328 and 58339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58328 and 58339. First we will calculate the prime factors of 58328 and 58339.

Prime Factorization of 58328

Prime Factorization of 58339

Now multiplying the highest exponent prime factors to calculate the LCM of 58328 and 58339.

LCM(58328,58339) = 2³ × 23¹ × 317¹ × 227¹ × 257¹
LCM(58328,58339) = 3402797192