What is the Least Common Multiple of 28641 and 28655?

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 28641 and 28655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28641 and 28655, than apply into the LCM equation.

GCF(28641,28655) = 1
LCM(28641,28655) = ( 28641 × 28655) / 1
LCM(28641,28655) = 820707855 / 1
LCM(28641,28655) = 820707855

Least Common Multiple (LCM) of 28641 and 28655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28641 and 28655. First we will calculate the prime factors of 28641 and 28655.

Prime Factorization of 28641

Prime Factorization of 28655

Now multiplying the highest exponent prime factors to calculate the LCM of 28641 and 28655.

LCM(28641,28655) = 3¹ × 9547¹ × 5¹ × 11¹ × 521¹
LCM(28641,28655) = 820707855