What is the Least Common Multiple of 22880 and 22893?

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 22880 and 22893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22880 and 22893, than apply into the LCM equation.

GCF(22880,22893) = 13
LCM(22880,22893) = ( 22880 × 22893) / 13
LCM(22880,22893) = 523791840 / 13
LCM(22880,22893) = 40291680

Least Common Multiple (LCM) of 22880 and 22893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22880 and 22893. First we will calculate the prime factors of 22880 and 22893.

Prime Factorization of 22880

Prime Factorization of 22893

Now multiplying the highest exponent prime factors to calculate the LCM of 22880 and 22893.

LCM(22880,22893) = 2⁵ × 5¹ × 11¹ × 13¹ × 3¹ × 587¹
LCM(22880,22893) = 40291680