What is the Least Common Multiple of 50439 and 50452?

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 50439 and 50452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50439 and 50452, than apply into the LCM equation.

GCF(50439,50452) = 1
LCM(50439,50452) = ( 50439 × 50452) / 1
LCM(50439,50452) = 2544748428 / 1
LCM(50439,50452) = 2544748428

Least Common Multiple (LCM) of 50439 and 50452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50439 and 50452. First we will calculate the prime factors of 50439 and 50452.

Prime Factorization of 50439

Prime Factorization of 50452

Now multiplying the highest exponent prime factors to calculate the LCM of 50439 and 50452.

LCM(50439,50452) = 3¹ × 17¹ × 23¹ × 43¹ × 2² × 12613¹
LCM(50439,50452) = 2544748428