What is the Least Common Multiple of 59384 and 59399?

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 59384 and 59399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59384 and 59399, than apply into the LCM equation.

GCF(59384,59399) = 1
LCM(59384,59399) = ( 59384 × 59399) / 1
LCM(59384,59399) = 3527350216 / 1
LCM(59384,59399) = 3527350216

Least Common Multiple (LCM) of 59384 and 59399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59384 and 59399. First we will calculate the prime factors of 59384 and 59399.

Prime Factorization of 59384

Prime Factorization of 59399

Now multiplying the highest exponent prime factors to calculate the LCM of 59384 and 59399.

LCM(59384,59399) = 2³ × 13¹ × 571¹ × 59399¹
LCM(59384,59399) = 3527350216