What is the Least Common Multiple of 22848 and 22861?

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 22861 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 22861, than apply into the LCM equation.

GCF(22848,22861) = 1
LCM(22848,22861) = ( 22848 × 22861) / 1
LCM(22848,22861) = 522328128 / 1
LCM(22848,22861) = 522328128

Least Common Multiple (LCM) of 22848 and 22861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22848 and 22861. First we will calculate the prime factors of 22848 and 22861.

Prime Factorization of 22848

Prime Factorization of 22861

Now multiplying the highest exponent prime factors to calculate the LCM of 22848 and 22861.

LCM(22848,22861) = 2⁶ × 3¹ × 7¹ × 17¹ × 22861¹
LCM(22848,22861) = 522328128