What is the Least Common Multiple of 15150 and 15170?

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 15150 and 15170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15150 and 15170, than apply into the LCM equation.

GCF(15150,15170) = 10
LCM(15150,15170) = ( 15150 × 15170) / 10
LCM(15150,15170) = 229825500 / 10
LCM(15150,15170) = 22982550

Least Common Multiple (LCM) of 15150 and 15170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15150 and 15170. First we will calculate the prime factors of 15150 and 15170.

Prime Factorization of 15150

Prime Factorization of 15170

Now multiplying the highest exponent prime factors to calculate the LCM of 15150 and 15170.

LCM(15150,15170) = 2¹ × 3¹ × 5² × 101¹ × 37¹ × 41¹
LCM(15150,15170) = 22982550