What is the Least Common Multiple of 27804 and 27819?

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 27804 and 27819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27804 and 27819, than apply into the LCM equation.

GCF(27804,27819) = 3
LCM(27804,27819) = ( 27804 × 27819) / 3
LCM(27804,27819) = 773479476 / 3
LCM(27804,27819) = 257826492

Least Common Multiple (LCM) of 27804 and 27819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27804 and 27819. First we will calculate the prime factors of 27804 and 27819.

Prime Factorization of 27804

Prime Factorization of 27819

Now multiplying the highest exponent prime factors to calculate the LCM of 27804 and 27819.

LCM(27804,27819) = 2² × 3² × 7¹ × 331¹ × 11¹ × 281¹
LCM(27804,27819) = 257826492