What is the Least Common Multiple of 13140 and 13150?

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 13140 and 13150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13140 and 13150, than apply into the LCM equation.

GCF(13140,13150) = 10
LCM(13140,13150) = ( 13140 × 13150) / 10
LCM(13140,13150) = 172791000 / 10
LCM(13140,13150) = 17279100

Least Common Multiple (LCM) of 13140 and 13150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13140 and 13150. First we will calculate the prime factors of 13140 and 13150.

Prime Factorization of 13140

Prime Factorization of 13150

Now multiplying the highest exponent prime factors to calculate the LCM of 13140 and 13150.

LCM(13140,13150) = 2² × 3² × 5² × 73¹ × 263¹
LCM(13140,13150) = 17279100