What is the Least Common Multiple of 13150 and 13170?

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 13150 and 13170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13150 and 13170, than apply into the LCM equation.

GCF(13150,13170) = 10
LCM(13150,13170) = ( 13150 × 13170) / 10
LCM(13150,13170) = 173185500 / 10
LCM(13150,13170) = 17318550

Least Common Multiple (LCM) of 13150 and 13170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13150 and 13170. First we will calculate the prime factors of 13150 and 13170.

Prime Factorization of 13150

Prime Factorization of 13170

Now multiplying the highest exponent prime factors to calculate the LCM of 13150 and 13170.

LCM(13150,13170) = 2¹ × 5² × 263¹ × 3¹ × 439¹
LCM(13150,13170) = 17318550