What is the Least Common Multiple of 50408 and 50426?

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 50408 and 50426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50408 and 50426, than apply into the LCM equation.

GCF(50408,50426) = 2
LCM(50408,50426) = ( 50408 × 50426) / 2
LCM(50408,50426) = 2541873808 / 2
LCM(50408,50426) = 1270936904

Least Common Multiple (LCM) of 50408 and 50426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50408 and 50426. First we will calculate the prime factors of 50408 and 50426.

Prime Factorization of 50408

Prime Factorization of 50426

Now multiplying the highest exponent prime factors to calculate the LCM of 50408 and 50426.

LCM(50408,50426) = 2³ × 6301¹ × 19¹ × 1327¹
LCM(50408,50426) = 1270936904