What is the Least Common Multiple of 21805 and 21823?

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 21805 and 21823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21805 and 21823, than apply into the LCM equation.

GCF(21805,21823) = 1
LCM(21805,21823) = ( 21805 × 21823) / 1
LCM(21805,21823) = 475850515 / 1
LCM(21805,21823) = 475850515

Least Common Multiple (LCM) of 21805 and 21823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21805 and 21823. First we will calculate the prime factors of 21805 and 21823.

Prime Factorization of 21805

Prime Factorization of 21823

Now multiplying the highest exponent prime factors to calculate the LCM of 21805 and 21823.

LCM(21805,21823) = 5¹ × 7² × 89¹ × 139¹ × 157¹
LCM(21805,21823) = 475850515