What is the Least Common Multiple of 13278 and 13298?

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 13278 and 13298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13278 and 13298, than apply into the LCM equation.

GCF(13278,13298) = 2
LCM(13278,13298) = ( 13278 × 13298) / 2
LCM(13278,13298) = 176570844 / 2
LCM(13278,13298) = 88285422

Least Common Multiple (LCM) of 13278 and 13298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13278 and 13298. First we will calculate the prime factors of 13278 and 13298.

Prime Factorization of 13278

Prime Factorization of 13298

Now multiplying the highest exponent prime factors to calculate the LCM of 13278 and 13298.

LCM(13278,13298) = 2¹ × 3¹ × 2213¹ × 61¹ × 109¹
LCM(13278,13298) = 88285422