What is the Least Common Multiple of 57288 and 57296?

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 57288 and 57296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57288 and 57296, than apply into the LCM equation.

GCF(57288,57296) = 8
LCM(57288,57296) = ( 57288 × 57296) / 8
LCM(57288,57296) = 3282373248 / 8
LCM(57288,57296) = 410296656

Least Common Multiple (LCM) of 57288 and 57296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57288 and 57296. First we will calculate the prime factors of 57288 and 57296.

Prime Factorization of 57288

Prime Factorization of 57296

Now multiplying the highest exponent prime factors to calculate the LCM of 57288 and 57296.

LCM(57288,57296) = 2⁴ × 3¹ × 7¹ × 11¹ × 31¹ × 3581¹
LCM(57288,57296) = 410296656