What is the Least Common Multiple of 52250 and 52256?

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 52250 and 52256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52250 and 52256, than apply into the LCM equation.

GCF(52250,52256) = 2
LCM(52250,52256) = ( 52250 × 52256) / 2
LCM(52250,52256) = 2730376000 / 2
LCM(52250,52256) = 1365188000

Least Common Multiple (LCM) of 52250 and 52256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52250 and 52256. First we will calculate the prime factors of 52250 and 52256.

Prime Factorization of 52250

Prime Factorization of 52256

Now multiplying the highest exponent prime factors to calculate the LCM of 52250 and 52256.

LCM(52250,52256) = 2⁵ × 5³ × 11¹ × 19¹ × 23¹ × 71¹
LCM(52250,52256) = 1365188000