What is the Least Common Multiple of 59328 and 59340?

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 59340 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 59340, than apply into the LCM equation.

GCF(59328,59340) = 12
LCM(59328,59340) = ( 59328 × 59340) / 12
LCM(59328,59340) = 3520523520 / 12
LCM(59328,59340) = 293376960

Least Common Multiple (LCM) of 59328 and 59340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59328 and 59340. First we will calculate the prime factors of 59328 and 59340.

Prime Factorization of 59328

Prime Factorization of 59340

Now multiplying the highest exponent prime factors to calculate the LCM of 59328 and 59340.

LCM(59328,59340) = 2⁶ × 3² × 103¹ × 5¹ × 23¹ × 43¹
LCM(59328,59340) = 293376960