What is the Least Common Multiple of 50160 and 50170?

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 50160 and 50170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50160 and 50170, than apply into the LCM equation.

GCF(50160,50170) = 10
LCM(50160,50170) = ( 50160 × 50170) / 10
LCM(50160,50170) = 2516527200 / 10
LCM(50160,50170) = 251652720

Least Common Multiple (LCM) of 50160 and 50170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50160 and 50170. First we will calculate the prime factors of 50160 and 50170.

Prime Factorization of 50160

Prime Factorization of 50170

Now multiplying the highest exponent prime factors to calculate the LCM of 50160 and 50170.

LCM(50160,50170) = 2⁴ × 3¹ × 5¹ × 11¹ × 19¹ × 29¹ × 173¹
LCM(50160,50170) = 251652720