What is the Least Common Multiple of 5278 and 5298?

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 5298 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 5298, than apply into the LCM equation.

GCF(5278,5298) = 2
LCM(5278,5298) = ( 5278 × 5298) / 2
LCM(5278,5298) = 27962844 / 2
LCM(5278,5298) = 13981422

Least Common Multiple (LCM) of 5278 and 5298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5278 and 5298. First we will calculate the prime factors of 5278 and 5298.

Prime Factorization of 5278

Prime Factorization of 5298

Now multiplying the highest exponent prime factors to calculate the LCM of 5278 and 5298.

LCM(5278,5298) = 2¹ × 7¹ × 13¹ × 29¹ × 3¹ × 883¹
LCM(5278,5298) = 13981422