What is the Least Common Multiple of 5258 and 5278?

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 5258 and 5278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5258 and 5278, than apply into the LCM equation.

GCF(5258,5278) = 2
LCM(5258,5278) = ( 5258 × 5278) / 2
LCM(5258,5278) = 27751724 / 2
LCM(5258,5278) = 13875862

Least Common Multiple (LCM) of 5258 and 5278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5258 and 5278. First we will calculate the prime factors of 5258 and 5278.

Prime Factorization of 5258

Prime Factorization of 5278

Now multiplying the highest exponent prime factors to calculate the LCM of 5258 and 5278.

LCM(5258,5278) = 2¹ × 11¹ × 239¹ × 7¹ × 13¹ × 29¹
LCM(5258,5278) = 13875862