What is the Least Common Multiple of 50823 and 50841?

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 50823 and 50841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50823 and 50841, than apply into the LCM equation.

GCF(50823,50841) = 9
LCM(50823,50841) = ( 50823 × 50841) / 9
LCM(50823,50841) = 2583892143 / 9
LCM(50823,50841) = 287099127

Least Common Multiple (LCM) of 50823 and 50841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50823 and 50841. First we will calculate the prime factors of 50823 and 50841.

Prime Factorization of 50823

Prime Factorization of 50841

Now multiplying the highest exponent prime factors to calculate the LCM of 50823 and 50841.

LCM(50823,50841) = 3³ × 5647¹ × 7¹ × 269¹
LCM(50823,50841) = 287099127