What is the Least Common Multiple of 58288 and 58293?

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 58288 and 58293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58288 and 58293, than apply into the LCM equation.

GCF(58288,58293) = 1
LCM(58288,58293) = ( 58288 × 58293) / 1
LCM(58288,58293) = 3397782384 / 1
LCM(58288,58293) = 3397782384

Least Common Multiple (LCM) of 58288 and 58293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58288 and 58293. First we will calculate the prime factors of 58288 and 58293.

Prime Factorization of 58288

Prime Factorization of 58293

Now multiplying the highest exponent prime factors to calculate the LCM of 58288 and 58293.

LCM(58288,58293) = 2⁴ × 3643¹ × 3³ × 17¹ × 127¹
LCM(58288,58293) = 3397782384