What is the Least Common Multiple of 23040 and 23056?

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 23040 and 23056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23040 and 23056, than apply into the LCM equation.

GCF(23040,23056) = 16
LCM(23040,23056) = ( 23040 × 23056) / 16
LCM(23040,23056) = 531210240 / 16
LCM(23040,23056) = 33200640

Least Common Multiple (LCM) of 23040 and 23056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23040 and 23056. First we will calculate the prime factors of 23040 and 23056.

Prime Factorization of 23040

Prime Factorization of 23056

Now multiplying the highest exponent prime factors to calculate the LCM of 23040 and 23056.

LCM(23040,23056) = 2⁹ × 3² × 5¹ × 11¹ × 131¹
LCM(23040,23056) = 33200640