What is the Least Common Multiple of 13357 and 13365?

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 13357 and 13365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13357 and 13365, than apply into the LCM equation.

GCF(13357,13365) = 1
LCM(13357,13365) = ( 13357 × 13365) / 1
LCM(13357,13365) = 178516305 / 1
LCM(13357,13365) = 178516305

Least Common Multiple (LCM) of 13357 and 13365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13357 and 13365. First we will calculate the prime factors of 13357 and 13365.

Prime Factorization of 13357

Prime Factorization of 13365

Now multiplying the highest exponent prime factors to calculate the LCM of 13357 and 13365.

LCM(13357,13365) = 19² × 37¹ × 3⁵ × 5¹ × 11¹
LCM(13357,13365) = 178516305