What is the Least Common Multiple of 59184 and 59193?

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 59184 and 59193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59184 and 59193, than apply into the LCM equation.

GCF(59184,59193) = 9
LCM(59184,59193) = ( 59184 × 59193) / 9
LCM(59184,59193) = 3503278512 / 9
LCM(59184,59193) = 389253168

Least Common Multiple (LCM) of 59184 and 59193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59184 and 59193. First we will calculate the prime factors of 59184 and 59193.

Prime Factorization of 59184

Prime Factorization of 59193

Now multiplying the highest exponent prime factors to calculate the LCM of 59184 and 59193.

LCM(59184,59193) = 2⁴ × 3³ × 137¹ × 6577¹
LCM(59184,59193) = 389253168