What is the Least Common Multiple of 13298 and 13303?

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 13298 and 13303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13298 and 13303, than apply into the LCM equation.

GCF(13298,13303) = 1
LCM(13298,13303) = ( 13298 × 13303) / 1
LCM(13298,13303) = 176903294 / 1
LCM(13298,13303) = 176903294

Least Common Multiple (LCM) of 13298 and 13303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13298 and 13303. First we will calculate the prime factors of 13298 and 13303.

Prime Factorization of 13298

Prime Factorization of 13303

Now multiplying the highest exponent prime factors to calculate the LCM of 13298 and 13303.

LCM(13298,13303) = 2¹ × 61¹ × 109¹ × 53¹ × 251¹
LCM(13298,13303) = 176903294