What is the Least Common Multiple of 13363 and 13367?

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 13363 and 13367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13363 and 13367, than apply into the LCM equation.

GCF(13363,13367) = 1
LCM(13363,13367) = ( 13363 × 13367) / 1
LCM(13363,13367) = 178623221 / 1
LCM(13363,13367) = 178623221

Least Common Multiple (LCM) of 13363 and 13367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13363 and 13367. First we will calculate the prime factors of 13363 and 13367.

Prime Factorization of 13363

Prime Factorization of 13367

Now multiplying the highest exponent prime factors to calculate the LCM of 13363 and 13367.

LCM(13363,13367) = 7¹ × 23¹ × 83¹ × 13367¹
LCM(13363,13367) = 178623221