What is the Least Common Multiple of 28440 and 28448?

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 28440 and 28448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28440 and 28448, than apply into the LCM equation.

GCF(28440,28448) = 8
LCM(28440,28448) = ( 28440 × 28448) / 8
LCM(28440,28448) = 809061120 / 8
LCM(28440,28448) = 101132640

Least Common Multiple (LCM) of 28440 and 28448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28440 and 28448. First we will calculate the prime factors of 28440 and 28448.

Prime Factorization of 28440

Prime Factorization of 28448

Now multiplying the highest exponent prime factors to calculate the LCM of 28440 and 28448.

LCM(28440,28448) = 2⁵ × 3² × 5¹ × 79¹ × 7¹ × 127¹
LCM(28440,28448) = 101132640