What is the Least Common Multiple of 50448 and 50454?

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 50448 and 50454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50448 and 50454, than apply into the LCM equation.

GCF(50448,50454) = 6
LCM(50448,50454) = ( 50448 × 50454) / 6
LCM(50448,50454) = 2545303392 / 6
LCM(50448,50454) = 424217232

Least Common Multiple (LCM) of 50448 and 50454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50448 and 50454. First we will calculate the prime factors of 50448 and 50454.

Prime Factorization of 50448

Prime Factorization of 50454

Now multiplying the highest exponent prime factors to calculate the LCM of 50448 and 50454.

LCM(50448,50454) = 2⁴ × 3² × 1051¹ × 2803¹
LCM(50448,50454) = 424217232