What is the Least Common Multiple of 23822 and 23828?

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 23822 and 23828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23822 and 23828, than apply into the LCM equation.

GCF(23822,23828) = 2
LCM(23822,23828) = ( 23822 × 23828) / 2
LCM(23822,23828) = 567630616 / 2
LCM(23822,23828) = 283815308

Least Common Multiple (LCM) of 23822 and 23828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23822 and 23828. First we will calculate the prime factors of 23822 and 23828.

Prime Factorization of 23822

Prime Factorization of 23828

Now multiplying the highest exponent prime factors to calculate the LCM of 23822 and 23828.

LCM(23822,23828) = 2² × 43¹ × 277¹ × 7¹ × 23¹ × 37¹
LCM(23822,23828) = 283815308