What is the Least Common Multiple of 28827 and 28842?

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 28827 and 28842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28827 and 28842, than apply into the LCM equation.

GCF(28827,28842) = 3
LCM(28827,28842) = ( 28827 × 28842) / 3
LCM(28827,28842) = 831428334 / 3
LCM(28827,28842) = 277142778

Least Common Multiple (LCM) of 28827 and 28842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28827 and 28842. First we will calculate the prime factors of 28827 and 28842.

Prime Factorization of 28827

Prime Factorization of 28842

Now multiplying the highest exponent prime factors to calculate the LCM of 28827 and 28842.

LCM(28827,28842) = 3² × 3203¹ × 2¹ × 11¹ × 19¹ × 23¹
LCM(28827,28842) = 277142778