What is the Least Common Multiple of 28812 and 28827?

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 28812 and 28827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28812 and 28827, than apply into the LCM equation.

GCF(28812,28827) = 3
LCM(28812,28827) = ( 28812 × 28827) / 3
LCM(28812,28827) = 830563524 / 3
LCM(28812,28827) = 276854508

Least Common Multiple (LCM) of 28812 and 28827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28812 and 28827. First we will calculate the prime factors of 28812 and 28827.

Prime Factorization of 28812

Prime Factorization of 28827

Now multiplying the highest exponent prime factors to calculate the LCM of 28812 and 28827.

LCM(28812,28827) = 2² × 3² × 7⁴ × 3203¹
LCM(28812,28827) = 276854508