What is the Least Common Multiple of 28640 and 28656?

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 28640 and 28656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28640 and 28656, than apply into the LCM equation.

GCF(28640,28656) = 16
LCM(28640,28656) = ( 28640 × 28656) / 16
LCM(28640,28656) = 820707840 / 16
LCM(28640,28656) = 51294240

Least Common Multiple (LCM) of 28640 and 28656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28640 and 28656. First we will calculate the prime factors of 28640 and 28656.

Prime Factorization of 28640

Prime Factorization of 28656

Now multiplying the highest exponent prime factors to calculate the LCM of 28640 and 28656.

LCM(28640,28656) = 2⁵ × 5¹ × 179¹ × 3² × 199¹
LCM(28640,28656) = 51294240