What is the Least Common Multiple of 27784 and 27804?

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 27784 and 27804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27784 and 27804, than apply into the LCM equation.

GCF(27784,27804) = 4
LCM(27784,27804) = ( 27784 × 27804) / 4
LCM(27784,27804) = 772506336 / 4
LCM(27784,27804) = 193126584

Least Common Multiple (LCM) of 27784 and 27804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27784 and 27804. First we will calculate the prime factors of 27784 and 27804.

Prime Factorization of 27784

Prime Factorization of 27804

Now multiplying the highest exponent prime factors to calculate the LCM of 27784 and 27804.

LCM(27784,27804) = 2³ × 23¹ × 151¹ × 3¹ × 7¹ × 331¹
LCM(27784,27804) = 193126584