What is the Least Common Multiple of 59384 and 59398?

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 59398 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 59398, than apply into the LCM equation.

GCF(59384,59398) = 2
LCM(59384,59398) = ( 59384 × 59398) / 2
LCM(59384,59398) = 3527290832 / 2
LCM(59384,59398) = 1763645416

Least Common Multiple (LCM) of 59384 and 59398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59384 and 59398. First we will calculate the prime factors of 59384 and 59398.

Prime Factorization of 59384

Prime Factorization of 59398

Now multiplying the highest exponent prime factors to calculate the LCM of 59384 and 59398.

LCM(59384,59398) = 2³ × 13¹ × 571¹ × 17¹ × 1747¹
LCM(59384,59398) = 1763645416