What is the Least Common Multiple of 22845 and 22854?

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 22845 and 22854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22845 and 22854, than apply into the LCM equation.

GCF(22845,22854) = 3
LCM(22845,22854) = ( 22845 × 22854) / 3
LCM(22845,22854) = 522099630 / 3
LCM(22845,22854) = 174033210

Least Common Multiple (LCM) of 22845 and 22854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22845 and 22854. First we will calculate the prime factors of 22845 and 22854.

Prime Factorization of 22845

Prime Factorization of 22854

Now multiplying the highest exponent prime factors to calculate the LCM of 22845 and 22854.

LCM(22845,22854) = 3¹ × 5¹ × 1523¹ × 2¹ × 13¹ × 293¹
LCM(22845,22854) = 174033210