What is the Least Common Multiple of 59256 and 59264?

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 59256 and 59264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59256 and 59264, than apply into the LCM equation.

GCF(59256,59264) = 8
LCM(59256,59264) = ( 59256 × 59264) / 8
LCM(59256,59264) = 3511747584 / 8
LCM(59256,59264) = 438968448

Least Common Multiple (LCM) of 59256 and 59264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59256 and 59264. First we will calculate the prime factors of 59256 and 59264.

Prime Factorization of 59256

Prime Factorization of 59264

Now multiplying the highest exponent prime factors to calculate the LCM of 59256 and 59264.

LCM(59256,59264) = 2⁷ × 3² × 823¹ × 463¹
LCM(59256,59264) = 438968448