What is the Least Common Multiple of 13365 and 13371?

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 13371 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 13371, than apply into the LCM equation.

GCF(13365,13371) = 3
LCM(13365,13371) = ( 13365 × 13371) / 3
LCM(13365,13371) = 178703415 / 3
LCM(13365,13371) = 59567805

Least Common Multiple (LCM) of 13365 and 13371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13365 and 13371. First we will calculate the prime factors of 13365 and 13371.

Prime Factorization of 13365

Prime Factorization of 13371

Now multiplying the highest exponent prime factors to calculate the LCM of 13365 and 13371.

LCM(13365,13371) = 3⁵ × 5¹ × 11¹ × 4457¹
LCM(13365,13371) = 59567805