What is the Least Common Multiple of 16140 and 16150?

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 16140 and 16150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16140 and 16150, than apply into the LCM equation.

GCF(16140,16150) = 10
LCM(16140,16150) = ( 16140 × 16150) / 10
LCM(16140,16150) = 260661000 / 10
LCM(16140,16150) = 26066100

Least Common Multiple (LCM) of 16140 and 16150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16140 and 16150. First we will calculate the prime factors of 16140 and 16150.

Prime Factorization of 16140

Prime Factorization of 16150

Now multiplying the highest exponent prime factors to calculate the LCM of 16140 and 16150.

LCM(16140,16150) = 2² × 3¹ × 5² × 269¹ × 17¹ × 19¹
LCM(16140,16150) = 26066100