What is the Least Common Multiple of 28672 and 28677?

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 28677 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 28677, than apply into the LCM equation.

GCF(28672,28677) = 1
LCM(28672,28677) = ( 28672 × 28677) / 1
LCM(28672,28677) = 822226944 / 1
LCM(28672,28677) = 822226944

Least Common Multiple (LCM) of 28672 and 28677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28672 and 28677. First we will calculate the prime factors of 28672 and 28677.

Prime Factorization of 28672

Prime Factorization of 28677

Now multiplying the highest exponent prime factors to calculate the LCM of 28672 and 28677.

LCM(28672,28677) = 2¹² × 7¹ × 3¹ × 11² × 79¹
LCM(28672,28677) = 822226944