What is the Least Common Multiple of 50320 and 50335?

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 50320 and 50335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50320 and 50335, than apply into the LCM equation.

GCF(50320,50335) = 5
LCM(50320,50335) = ( 50320 × 50335) / 5
LCM(50320,50335) = 2532857200 / 5
LCM(50320,50335) = 506571440

Least Common Multiple (LCM) of 50320 and 50335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50320 and 50335. First we will calculate the prime factors of 50320 and 50335.

Prime Factorization of 50320

Prime Factorization of 50335

Now multiplying the highest exponent prime factors to calculate the LCM of 50320 and 50335.

LCM(50320,50335) = 2⁴ × 5¹ × 17¹ × 37¹ × 10067¹
LCM(50320,50335) = 506571440