What is the Least Common Multiple of 13365 and 13382?

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 13382 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 13382, than apply into the LCM equation.

GCF(13365,13382) = 1
LCM(13365,13382) = ( 13365 × 13382) / 1
LCM(13365,13382) = 178850430 / 1
LCM(13365,13382) = 178850430

Least Common Multiple (LCM) of 13365 and 13382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13365 and 13382. First we will calculate the prime factors of 13365 and 13382.

Prime Factorization of 13365

Prime Factorization of 13382

Now multiplying the highest exponent prime factors to calculate the LCM of 13365 and 13382.

LCM(13365,13382) = 3⁵ × 5¹ × 11¹ × 2¹ × 6691¹
LCM(13365,13382) = 178850430