What is the Least Common Multiple of 25260 and 25275?

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 25260 and 25275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25260 and 25275, than apply into the LCM equation.

GCF(25260,25275) = 15
LCM(25260,25275) = ( 25260 × 25275) / 15
LCM(25260,25275) = 638446500 / 15
LCM(25260,25275) = 42563100

Least Common Multiple (LCM) of 25260 and 25275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25260 and 25275. First we will calculate the prime factors of 25260 and 25275.

Prime Factorization of 25260

Prime Factorization of 25275

Now multiplying the highest exponent prime factors to calculate the LCM of 25260 and 25275.

LCM(25260,25275) = 2² × 3¹ × 5² × 421¹ × 337¹
LCM(25260,25275) = 42563100