What is the Least Common Multiple of 28448 and 28462?

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 28448 and 28462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28448 and 28462, than apply into the LCM equation.

GCF(28448,28462) = 14
LCM(28448,28462) = ( 28448 × 28462) / 14
LCM(28448,28462) = 809686976 / 14
LCM(28448,28462) = 57834784

Least Common Multiple (LCM) of 28448 and 28462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28448 and 28462. First we will calculate the prime factors of 28448 and 28462.

Prime Factorization of 28448

Prime Factorization of 28462

Now multiplying the highest exponent prime factors to calculate the LCM of 28448 and 28462.

LCM(28448,28462) = 2⁵ × 7¹ × 127¹ × 19¹ × 107¹
LCM(28448,28462) = 57834784