What is the Least Common Multiple of 5248 and 5262?

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 5248 and 5262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5248 and 5262, than apply into the LCM equation.

GCF(5248,5262) = 2
LCM(5248,5262) = ( 5248 × 5262) / 2
LCM(5248,5262) = 27614976 / 2
LCM(5248,5262) = 13807488

Least Common Multiple (LCM) of 5248 and 5262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5248 and 5262. First we will calculate the prime factors of 5248 and 5262.

Prime Factorization of 5248

Prime Factorization of 5262

Now multiplying the highest exponent prime factors to calculate the LCM of 5248 and 5262.

LCM(5248,5262) = 2⁷ × 41¹ × 3¹ × 877¹
LCM(5248,5262) = 13807488