What is the Least Common Multiple of 22848 and 22863?

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 22848 and 22863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22848 and 22863, than apply into the LCM equation.

GCF(22848,22863) = 3
LCM(22848,22863) = ( 22848 × 22863) / 3
LCM(22848,22863) = 522373824 / 3
LCM(22848,22863) = 174124608

Least Common Multiple (LCM) of 22848 and 22863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22848 and 22863. First we will calculate the prime factors of 22848 and 22863.

Prime Factorization of 22848

Prime Factorization of 22863

Now multiplying the highest exponent prime factors to calculate the LCM of 22848 and 22863.

LCM(22848,22863) = 2⁶ × 3¹ × 7¹ × 17¹ × 7621¹
LCM(22848,22863) = 174124608