What is the Least Common Multiple of 22874 and 22880?

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 22874 and 22880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22874 and 22880, than apply into the LCM equation.

GCF(22874,22880) = 2
LCM(22874,22880) = ( 22874 × 22880) / 2
LCM(22874,22880) = 523357120 / 2
LCM(22874,22880) = 261678560

Least Common Multiple (LCM) of 22874 and 22880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22874 and 22880. First we will calculate the prime factors of 22874 and 22880.

Prime Factorization of 22874

Prime Factorization of 22880

Now multiplying the highest exponent prime factors to calculate the LCM of 22874 and 22880.

LCM(22874,22880) = 2⁵ × 11437¹ × 5¹ × 11¹ × 13¹
LCM(22874,22880) = 261678560