What is the Least Common Multiple of 22854 and 22860?

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 22854 and 22860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22854 and 22860, than apply into the LCM equation.

GCF(22854,22860) = 6
LCM(22854,22860) = ( 22854 × 22860) / 6
LCM(22854,22860) = 522442440 / 6
LCM(22854,22860) = 87073740

Least Common Multiple (LCM) of 22854 and 22860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22854 and 22860. First we will calculate the prime factors of 22854 and 22860.

Prime Factorization of 22854

Prime Factorization of 22860

Now multiplying the highest exponent prime factors to calculate the LCM of 22854 and 22860.

LCM(22854,22860) = 2² × 3² × 13¹ × 293¹ × 5¹ × 127¹
LCM(22854,22860) = 87073740