What is the Least Common Multiple of 48448 and 48456?

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 48448 and 48456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48448 and 48456, than apply into the LCM equation.

GCF(48448,48456) = 8
LCM(48448,48456) = ( 48448 × 48456) / 8
LCM(48448,48456) = 2347596288 / 8
LCM(48448,48456) = 293449536

Least Common Multiple (LCM) of 48448 and 48456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48448 and 48456. First we will calculate the prime factors of 48448 and 48456.

Prime Factorization of 48448

Prime Factorization of 48456

Now multiplying the highest exponent prime factors to calculate the LCM of 48448 and 48456.

LCM(48448,48456) = 2⁶ × 757¹ × 3² × 673¹
LCM(48448,48456) = 293449536