What is the Least Common Multiple of 13330 and 13335?

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 13330 and 13335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13330 and 13335, than apply into the LCM equation.

GCF(13330,13335) = 5
LCM(13330,13335) = ( 13330 × 13335) / 5
LCM(13330,13335) = 177755550 / 5
LCM(13330,13335) = 35551110

Least Common Multiple (LCM) of 13330 and 13335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13330 and 13335. First we will calculate the prime factors of 13330 and 13335.

Prime Factorization of 13330

Prime Factorization of 13335

Now multiplying the highest exponent prime factors to calculate the LCM of 13330 and 13335.

LCM(13330,13335) = 2¹ × 5¹ × 31¹ × 43¹ × 3¹ × 7¹ × 127¹
LCM(13330,13335) = 35551110