What is the Least Common Multiple of 13330 and 13345?

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 13345 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 13345, than apply into the LCM equation.

GCF(13330,13345) = 5
LCM(13330,13345) = ( 13330 × 13345) / 5
LCM(13330,13345) = 177888850 / 5
LCM(13330,13345) = 35577770

Least Common Multiple (LCM) of 13330 and 13345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13330 and 13345. First we will calculate the prime factors of 13330 and 13345.

Prime Factorization of 13330

Prime Factorization of 13345

Now multiplying the highest exponent prime factors to calculate the LCM of 13330 and 13345.

LCM(13330,13345) = 2¹ × 5¹ × 31¹ × 43¹ × 17¹ × 157¹
LCM(13330,13345) = 35577770