What is the Least Common Multiple of 59328 and 59343?

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 59328 and 59343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59328 and 59343, than apply into the LCM equation.

GCF(59328,59343) = 3
LCM(59328,59343) = ( 59328 × 59343) / 3
LCM(59328,59343) = 3520701504 / 3
LCM(59328,59343) = 1173567168

Least Common Multiple (LCM) of 59328 and 59343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59328 and 59343. First we will calculate the prime factors of 59328 and 59343.

Prime Factorization of 59328

Prime Factorization of 59343

Now multiplying the highest exponent prime factors to calculate the LCM of 59328 and 59343.

LCM(59328,59343) = 2⁶ × 3² × 103¹ × 131¹ × 151¹
LCM(59328,59343) = 1173567168