What is the Least Common Multiple of 20448 and 20456?

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 20448 and 20456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20448 and 20456, than apply into the LCM equation.

GCF(20448,20456) = 8
LCM(20448,20456) = ( 20448 × 20456) / 8
LCM(20448,20456) = 418284288 / 8
LCM(20448,20456) = 52285536

Least Common Multiple (LCM) of 20448 and 20456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20448 and 20456. First we will calculate the prime factors of 20448 and 20456.

Prime Factorization of 20448

Prime Factorization of 20456

Now multiplying the highest exponent prime factors to calculate the LCM of 20448 and 20456.

LCM(20448,20456) = 2⁵ × 3² × 71¹ × 2557¹
LCM(20448,20456) = 52285536