What is the Least Common Multiple of 5256 and 5266?

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 5256 and 5266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5256 and 5266, than apply into the LCM equation.

GCF(5256,5266) = 2
LCM(5256,5266) = ( 5256 × 5266) / 2
LCM(5256,5266) = 27678096 / 2
LCM(5256,5266) = 13839048

Least Common Multiple (LCM) of 5256 and 5266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5256 and 5266. First we will calculate the prime factors of 5256 and 5266.

Prime Factorization of 5256

Prime Factorization of 5266

Now multiplying the highest exponent prime factors to calculate the LCM of 5256 and 5266.

LCM(5256,5266) = 2³ × 3² × 73¹ × 2633¹
LCM(5256,5266) = 13839048