What is the Least Common Multiple of 13059 and 13065?

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 13059 and 13065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13059 and 13065, than apply into the LCM equation.

GCF(13059,13065) = 3
LCM(13059,13065) = ( 13059 × 13065) / 3
LCM(13059,13065) = 170615835 / 3
LCM(13059,13065) = 56871945

Least Common Multiple (LCM) of 13059 and 13065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13059 and 13065. First we will calculate the prime factors of 13059 and 13065.

Prime Factorization of 13059

Prime Factorization of 13065

Now multiplying the highest exponent prime factors to calculate the LCM of 13059 and 13065.

LCM(13059,13065) = 3² × 1451¹ × 5¹ × 13¹ × 67¹
LCM(13059,13065) = 56871945