What is the Least Common Multiple of 50439 and 50448?

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 50448 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 50448, than apply into the LCM equation.

GCF(50439,50448) = 3
LCM(50439,50448) = ( 50439 × 50448) / 3
LCM(50439,50448) = 2544546672 / 3
LCM(50439,50448) = 848182224

Least Common Multiple (LCM) of 50439 and 50448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50439 and 50448. First we will calculate the prime factors of 50439 and 50448.

Prime Factorization of 50439

Prime Factorization of 50448

Now multiplying the highest exponent prime factors to calculate the LCM of 50439 and 50448.

LCM(50439,50448) = 3¹ × 17¹ × 23¹ × 43¹ × 2⁴ × 1051¹
LCM(50439,50448) = 848182224