What is the Least Common Multiple of 57248 and 57254?

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 57248 and 57254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57248 and 57254, than apply into the LCM equation.

GCF(57248,57254) = 2
LCM(57248,57254) = ( 57248 × 57254) / 2
LCM(57248,57254) = 3277676992 / 2
LCM(57248,57254) = 1638838496

Least Common Multiple (LCM) of 57248 and 57254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57248 and 57254. First we will calculate the prime factors of 57248 and 57254.

Prime Factorization of 57248

Prime Factorization of 57254

Now multiplying the highest exponent prime factors to calculate the LCM of 57248 and 57254.

LCM(57248,57254) = 2⁵ × 1789¹ × 28627¹
LCM(57248,57254) = 1638838496