What is the Least Common Multiple of 50814 and 50823?

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 50814 and 50823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50814 and 50823, than apply into the LCM equation.

GCF(50814,50823) = 9
LCM(50814,50823) = ( 50814 × 50823) / 9
LCM(50814,50823) = 2582519922 / 9
LCM(50814,50823) = 286946658

Least Common Multiple (LCM) of 50814 and 50823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50814 and 50823. First we will calculate the prime factors of 50814 and 50823.

Prime Factorization of 50814

Prime Factorization of 50823

Now multiplying the highest exponent prime factors to calculate the LCM of 50814 and 50823.

LCM(50814,50823) = 2¹ × 3³ × 941¹ × 5647¹
LCM(50814,50823) = 286946658