What is the Least Common Multiple of 28672 and 28689?

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 28689 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 28689, than apply into the LCM equation.

GCF(28672,28689) = 1
LCM(28672,28689) = ( 28672 × 28689) / 1
LCM(28672,28689) = 822571008 / 1
LCM(28672,28689) = 822571008

Least Common Multiple (LCM) of 28672 and 28689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28672 and 28689. First we will calculate the prime factors of 28672 and 28689.

Prime Factorization of 28672

Prime Factorization of 28689

Now multiplying the highest exponent prime factors to calculate the LCM of 28672 and 28689.

LCM(28672,28689) = 2¹² × 7¹ × 3¹ × 73¹ × 131¹
LCM(28672,28689) = 822571008