What is the Least Common Multiple of 25560 and 25575?

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 25560 and 25575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25560 and 25575, than apply into the LCM equation.

GCF(25560,25575) = 15
LCM(25560,25575) = ( 25560 × 25575) / 15
LCM(25560,25575) = 653697000 / 15
LCM(25560,25575) = 43579800

Least Common Multiple (LCM) of 25560 and 25575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25560 and 25575. First we will calculate the prime factors of 25560 and 25575.

Prime Factorization of 25560

Prime Factorization of 25575

Now multiplying the highest exponent prime factors to calculate the LCM of 25560 and 25575.

LCM(25560,25575) = 2³ × 3² × 5² × 71¹ × 11¹ × 31¹
LCM(25560,25575) = 43579800