What is the Least Common Multiple of 58359 and 58369?

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 58359 and 58369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58359 and 58369, than apply into the LCM equation.

GCF(58359,58369) = 1
LCM(58359,58369) = ( 58359 × 58369) / 1
LCM(58359,58369) = 3406356471 / 1
LCM(58359,58369) = 3406356471

Least Common Multiple (LCM) of 58359 and 58369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58359 and 58369. First we will calculate the prime factors of 58359 and 58369.

Prime Factorization of 58359

Prime Factorization of 58369

Now multiplying the highest exponent prime factors to calculate the LCM of 58359 and 58369.

LCM(58359,58369) = 3¹ × 7² × 397¹ × 58369¹
LCM(58359,58369) = 3406356471