GCF and LCM Calculator Logo

What is the Least Common Multiple of 50267 and 50285?

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 50267 and 50285 is 2527676095.

LCM(50267,50285) = 2527676095

LCM Calculator and
and

Least Common Multiple of 50267 and 50285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50267 and 50285, than apply into the LCM equation.

GCF(50267,50285) = 1
LCM(50267,50285) = ( 50267 × 50285) / 1
LCM(50267,50285) = 2527676095 / 1
LCM(50267,50285) = 2527676095

Least Common Multiple (LCM) of 50267 and 50285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50267 and 50285. First we will calculate the prime factors of 50267 and 50285.

Prime Factorization of 50267

Prime factors of 50267 are 7, 43, 167. Prime factorization of 50267 in exponential form is:

50267 = 71 × 431 × 1671

Prime Factorization of 50285

Prime factors of 50285 are 5, 89, 113. Prime factorization of 50285 in exponential form is:

50285 = 51 × 891 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 50267 and 50285.

LCM(50267,50285) = 71 × 431 × 1671 × 51 × 891 × 1131
LCM(50267,50285) = 2527676095