What is the Least Common Multiple of 5278 and 5282?

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 5282 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 5282, than apply into the LCM equation.

GCF(5278,5282) = 2
LCM(5278,5282) = ( 5278 × 5282) / 2
LCM(5278,5282) = 27878396 / 2
LCM(5278,5282) = 13939198

Least Common Multiple (LCM) of 5278 and 5282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5278 and 5282. First we will calculate the prime factors of 5278 and 5282.

Prime Factorization of 5278

Prime Factorization of 5282

Now multiplying the highest exponent prime factors to calculate the LCM of 5278 and 5282.

LCM(5278,5282) = 2¹ × 7¹ × 13¹ × 29¹ × 19¹ × 139¹
LCM(5278,5282) = 13939198