What is the Least Common Multiple of 58309 and 58328?

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 58309 and 58328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58309 and 58328, than apply into the LCM equation.

GCF(58309,58328) = 1
LCM(58309,58328) = ( 58309 × 58328) / 1
LCM(58309,58328) = 3401047352 / 1
LCM(58309,58328) = 3401047352

Least Common Multiple (LCM) of 58309 and 58328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58309 and 58328. First we will calculate the prime factors of 58309 and 58328.

Prime Factorization of 58309

Prime Factorization of 58328

Now multiplying the highest exponent prime factors to calculate the LCM of 58309 and 58328.

LCM(58309,58328) = 58309¹ × 2³ × 23¹ × 317¹
LCM(58309,58328) = 3401047352