What is the Least Common Multiple of 58396 and 58403?

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 58396 and 58403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58396 and 58403, than apply into the LCM equation.

GCF(58396,58403) = 1
LCM(58396,58403) = ( 58396 × 58403) / 1
LCM(58396,58403) = 3410501588 / 1
LCM(58396,58403) = 3410501588

Least Common Multiple (LCM) of 58396 and 58403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58396 and 58403. First we will calculate the prime factors of 58396 and 58403.

Prime Factorization of 58396

Prime Factorization of 58403

Now multiplying the highest exponent prime factors to calculate the LCM of 58396 and 58403.

LCM(58396,58403) = 2² × 13¹ × 1123¹ × 58403¹
LCM(58396,58403) = 3410501588