What is the Least Common Multiple of 25575 and 25590?

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 25590 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 25590, than apply into the LCM equation.

GCF(25575,25590) = 15
LCM(25575,25590) = ( 25575 × 25590) / 15
LCM(25575,25590) = 654464250 / 15
LCM(25575,25590) = 43630950

Least Common Multiple (LCM) of 25575 and 25590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25575 and 25590. First we will calculate the prime factors of 25575 and 25590.

Prime Factorization of 25575

Prime Factorization of 25590

Now multiplying the highest exponent prime factors to calculate the LCM of 25575 and 25590.

LCM(25575,25590) = 3¹ × 5² × 11¹ × 31¹ × 2¹ × 853¹
LCM(25575,25590) = 43630950