What is the Least Common Multiple of 13170 and 13180?

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 13170 and 13180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13170 and 13180, than apply into the LCM equation.

GCF(13170,13180) = 10
LCM(13170,13180) = ( 13170 × 13180) / 10
LCM(13170,13180) = 173580600 / 10
LCM(13170,13180) = 17358060

Least Common Multiple (LCM) of 13170 and 13180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13170 and 13180. First we will calculate the prime factors of 13170 and 13180.

Prime Factorization of 13170

Prime Factorization of 13180

Now multiplying the highest exponent prime factors to calculate the LCM of 13170 and 13180.

LCM(13170,13180) = 2² × 3¹ × 5¹ × 439¹ × 659¹
LCM(13170,13180) = 17358060