What is the Least Common Multiple of 52576 and 52592?

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 52576 and 52592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52576 and 52592, than apply into the LCM equation.

GCF(52576,52592) = 16
LCM(52576,52592) = ( 52576 × 52592) / 16
LCM(52576,52592) = 2765076992 / 16
LCM(52576,52592) = 172817312

Least Common Multiple (LCM) of 52576 and 52592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52576 and 52592. First we will calculate the prime factors of 52576 and 52592.

Prime Factorization of 52576

Prime Factorization of 52592

Now multiplying the highest exponent prime factors to calculate the LCM of 52576 and 52592.

LCM(52576,52592) = 2⁵ × 31¹ × 53¹ × 19¹ × 173¹
LCM(52576,52592) = 172817312