What is the Least Common Multiple of 28456 and 28464?

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 28456 and 28464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28456 and 28464, than apply into the LCM equation.

GCF(28456,28464) = 8
LCM(28456,28464) = ( 28456 × 28464) / 8
LCM(28456,28464) = 809971584 / 8
LCM(28456,28464) = 101246448

Least Common Multiple (LCM) of 28456 and 28464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28456 and 28464. First we will calculate the prime factors of 28456 and 28464.

Prime Factorization of 28456

Prime Factorization of 28464

Now multiplying the highest exponent prime factors to calculate the LCM of 28456 and 28464.

LCM(28456,28464) = 2⁴ × 3557¹ × 3¹ × 593¹
LCM(28456,28464) = 101246448