What is the Least Common Multiple of 23805 and 23821?

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 23805 and 23821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23805 and 23821, than apply into the LCM equation.

GCF(23805,23821) = 1
LCM(23805,23821) = ( 23805 × 23821) / 1
LCM(23805,23821) = 567058905 / 1
LCM(23805,23821) = 567058905

Least Common Multiple (LCM) of 23805 and 23821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23805 and 23821. First we will calculate the prime factors of 23805 and 23821.

Prime Factorization of 23805

Prime Factorization of 23821

Now multiplying the highest exponent prime factors to calculate the LCM of 23805 and 23821.

LCM(23805,23821) = 3² × 5¹ × 23² × 7¹ × 41¹ × 83¹
LCM(23805,23821) = 567058905