What is the Least Common Multiple of 28656 and 28671?

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 28656 and 28671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28656 and 28671, than apply into the LCM equation.

GCF(28656,28671) = 3
LCM(28656,28671) = ( 28656 × 28671) / 3
LCM(28656,28671) = 821596176 / 3
LCM(28656,28671) = 273865392

Least Common Multiple (LCM) of 28656 and 28671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28656 and 28671. First we will calculate the prime factors of 28656 and 28671.

Prime Factorization of 28656

Prime Factorization of 28671

Now multiplying the highest exponent prime factors to calculate the LCM of 28656 and 28671.

LCM(28656,28671) = 2⁴ × 3² × 199¹ × 19¹ × 503¹
LCM(28656,28671) = 273865392