What is the Least Common Multiple of 25575 and 25584?

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 25575 and 25584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25575 and 25584, than apply into the LCM equation.

GCF(25575,25584) = 3
LCM(25575,25584) = ( 25575 × 25584) / 3
LCM(25575,25584) = 654310800 / 3
LCM(25575,25584) = 218103600

Least Common Multiple (LCM) of 25575 and 25584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25575 and 25584. First we will calculate the prime factors of 25575 and 25584.

Prime Factorization of 25575

Prime Factorization of 25584

Now multiplying the highest exponent prime factors to calculate the LCM of 25575 and 25584.

LCM(25575,25584) = 3¹ × 5² × 11¹ × 31¹ × 2⁴ × 13¹ × 41¹
LCM(25575,25584) = 218103600