What is the Least Common Multiple of 52448 and 52456?

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 52448 and 52456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52448 and 52456, than apply into the LCM equation.

GCF(52448,52456) = 8
LCM(52448,52456) = ( 52448 × 52456) / 8
LCM(52448,52456) = 2751212288 / 8
LCM(52448,52456) = 343901536

Least Common Multiple (LCM) of 52448 and 52456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52448 and 52456. First we will calculate the prime factors of 52448 and 52456.

Prime Factorization of 52448

Prime Factorization of 52456

Now multiplying the highest exponent prime factors to calculate the LCM of 52448 and 52456.

LCM(52448,52456) = 2⁵ × 11¹ × 149¹ × 79¹ × 83¹
LCM(52448,52456) = 343901536