What is the Least Common Multiple of 28672 and 28680?

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 28672 and 28680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28672 and 28680, than apply into the LCM equation.

GCF(28672,28680) = 8
LCM(28672,28680) = ( 28672 × 28680) / 8
LCM(28672,28680) = 822312960 / 8
LCM(28672,28680) = 102789120

Least Common Multiple (LCM) of 28672 and 28680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28672 and 28680. First we will calculate the prime factors of 28672 and 28680.

Prime Factorization of 28672

Prime Factorization of 28680

Now multiplying the highest exponent prime factors to calculate the LCM of 28672 and 28680.

LCM(28672,28680) = 2¹² × 7¹ × 3¹ × 5¹ × 239¹
LCM(28672,28680) = 102789120