What is the Least Common Multiple of 50328 and 50341?

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 50328 and 50341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50328 and 50341, than apply into the LCM equation.

GCF(50328,50341) = 1
LCM(50328,50341) = ( 50328 × 50341) / 1
LCM(50328,50341) = 2533561848 / 1
LCM(50328,50341) = 2533561848

Least Common Multiple (LCM) of 50328 and 50341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50328 and 50341. First we will calculate the prime factors of 50328 and 50341.

Prime Factorization of 50328

Prime Factorization of 50341

Now multiplying the highest exponent prime factors to calculate the LCM of 50328 and 50341.

LCM(50328,50341) = 2³ × 3³ × 233¹ × 50341¹
LCM(50328,50341) = 2533561848