What is the Least Common Multiple of 5250 and 5256?

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 5250 and 5256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5250 and 5256, than apply into the LCM equation.

GCF(5250,5256) = 6
LCM(5250,5256) = ( 5250 × 5256) / 6
LCM(5250,5256) = 27594000 / 6
LCM(5250,5256) = 4599000

Least Common Multiple (LCM) of 5250 and 5256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5250 and 5256. First we will calculate the prime factors of 5250 and 5256.

Prime Factorization of 5250

Prime Factorization of 5256

Now multiplying the highest exponent prime factors to calculate the LCM of 5250 and 5256.

LCM(5250,5256) = 2³ × 3² × 5³ × 7¹ × 73¹
LCM(5250,5256) = 4599000