What is the Least Common Multiple of 25275 and 25289?

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 25275 and 25289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25275 and 25289, than apply into the LCM equation.

GCF(25275,25289) = 1
LCM(25275,25289) = ( 25275 × 25289) / 1
LCM(25275,25289) = 639179475 / 1
LCM(25275,25289) = 639179475

Least Common Multiple (LCM) of 25275 and 25289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25275 and 25289. First we will calculate the prime factors of 25275 and 25289.

Prime Factorization of 25275

Prime Factorization of 25289

Now multiplying the highest exponent prime factors to calculate the LCM of 25275 and 25289.

LCM(25275,25289) = 3¹ × 5² × 337¹ × 11³ × 19¹
LCM(25275,25289) = 639179475