What is the Least Common Multiple of 22848 and 22855?

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 22855 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 22855, than apply into the LCM equation.

GCF(22848,22855) = 7
LCM(22848,22855) = ( 22848 × 22855) / 7
LCM(22848,22855) = 522191040 / 7
LCM(22848,22855) = 74598720

Least Common Multiple (LCM) of 22848 and 22855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22848 and 22855. First we will calculate the prime factors of 22848 and 22855.

Prime Factorization of 22848

Prime Factorization of 22855

Now multiplying the highest exponent prime factors to calculate the LCM of 22848 and 22855.

LCM(22848,22855) = 2⁶ × 3¹ × 7¹ × 17¹ × 5¹ × 653¹
LCM(22848,22855) = 74598720