What is the Least Common Multiple of 13365 and 13378?

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 13365 and 13378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13365 and 13378, than apply into the LCM equation.

GCF(13365,13378) = 1
LCM(13365,13378) = ( 13365 × 13378) / 1
LCM(13365,13378) = 178796970 / 1
LCM(13365,13378) = 178796970

Least Common Multiple (LCM) of 13365 and 13378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13365 and 13378. First we will calculate the prime factors of 13365 and 13378.

Prime Factorization of 13365

Prime Factorization of 13378

Now multiplying the highest exponent prime factors to calculate the LCM of 13365 and 13378.

LCM(13365,13378) = 3⁵ × 5¹ × 11¹ × 2¹ × 6689¹
LCM(13365,13378) = 178796970