What is the Least Common Multiple of 22805 and 22823?

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 22805 and 22823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22805 and 22823, than apply into the LCM equation.

GCF(22805,22823) = 1
LCM(22805,22823) = ( 22805 × 22823) / 1
LCM(22805,22823) = 520478515 / 1
LCM(22805,22823) = 520478515

Least Common Multiple (LCM) of 22805 and 22823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22805 and 22823. First we will calculate the prime factors of 22805 and 22823.

Prime Factorization of 22805

Prime Factorization of 22823

Now multiplying the highest exponent prime factors to calculate the LCM of 22805 and 22823.

LCM(22805,22823) = 5¹ × 4561¹ × 29¹ × 787¹
LCM(22805,22823) = 520478515