What is the Least Common Multiple of 23804 and 23822?

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 23804 and 23822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23804 and 23822, than apply into the LCM equation.

GCF(23804,23822) = 2
LCM(23804,23822) = ( 23804 × 23822) / 2
LCM(23804,23822) = 567058888 / 2
LCM(23804,23822) = 283529444

Least Common Multiple (LCM) of 23804 and 23822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23804 and 23822. First we will calculate the prime factors of 23804 and 23822.

Prime Factorization of 23804

Prime Factorization of 23822

Now multiplying the highest exponent prime factors to calculate the LCM of 23804 and 23822.

LCM(23804,23822) = 2² × 11¹ × 541¹ × 43¹ × 277¹
LCM(23804,23822) = 283529444