What is the Least Common Multiple of 5278 and 5296?

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 5278 and 5296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5278 and 5296, than apply into the LCM equation.

GCF(5278,5296) = 2
LCM(5278,5296) = ( 5278 × 5296) / 2
LCM(5278,5296) = 27952288 / 2
LCM(5278,5296) = 13976144

Least Common Multiple (LCM) of 5278 and 5296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5278 and 5296. First we will calculate the prime factors of 5278 and 5296.

Prime Factorization of 5278

Prime Factorization of 5296

Now multiplying the highest exponent prime factors to calculate the LCM of 5278 and 5296.

LCM(5278,5296) = 2⁴ × 7¹ × 13¹ × 29¹ × 331¹
LCM(5278,5296) = 13976144