GCF and LCM Calculator Logo

What is the Least Common Multiple of 50284 and 50289?

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 (LCM) of 50284 and 50289 is 2528732076.

LCM(50284,50289) = 2528732076

LCM Calculator and
and

Least Common Multiple of 50284 and 50289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50284 and 50289, than apply into the LCM equation.

GCF(50284,50289) = 1
LCM(50284,50289) = ( 50284 × 50289) / 1
LCM(50284,50289) = 2528732076 / 1
LCM(50284,50289) = 2528732076

Least Common Multiple (LCM) of 50284 and 50289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50284 and 50289. First we will calculate the prime factors of 50284 and 50289.

Prime Factorization of 50284

Prime factors of 50284 are 2, 13, 967. Prime factorization of 50284 in exponential form is:

50284 = 22 × 131 × 9671

Prime Factorization of 50289

Prime factors of 50289 are 3, 16763. Prime factorization of 50289 in exponential form is:

50289 = 31 × 167631

Now multiplying the highest exponent prime factors to calculate the LCM of 50284 and 50289.

LCM(50284,50289) = 22 × 131 × 9671 × 31 × 167631
LCM(50284,50289) = 2528732076