What is the Least Common Multiple of 59312 and 59328?

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 59312 and 59328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59312 and 59328, than apply into the LCM equation.

GCF(59312,59328) = 16
LCM(59312,59328) = ( 59312 × 59328) / 16
LCM(59312,59328) = 3518862336 / 16
LCM(59312,59328) = 219928896

Least Common Multiple (LCM) of 59312 and 59328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59312 and 59328. First we will calculate the prime factors of 59312 and 59328.

Prime Factorization of 59312

Prime Factorization of 59328

Now multiplying the highest exponent prime factors to calculate the LCM of 59312 and 59328.

LCM(59312,59328) = 2⁶ × 11¹ × 337¹ × 3² × 103¹
LCM(59312,59328) = 219928896