What is the Least Common Multiple of 25330 and 25335?

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 25330 and 25335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25330 and 25335, than apply into the LCM equation.

GCF(25330,25335) = 5
LCM(25330,25335) = ( 25330 × 25335) / 5
LCM(25330,25335) = 641735550 / 5
LCM(25330,25335) = 128347110

Least Common Multiple (LCM) of 25330 and 25335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25330 and 25335. First we will calculate the prime factors of 25330 and 25335.

Prime Factorization of 25330

Prime Factorization of 25335

Now multiplying the highest exponent prime factors to calculate the LCM of 25330 and 25335.

LCM(25330,25335) = 2¹ × 5¹ × 17¹ × 149¹ × 3² × 563¹
LCM(25330,25335) = 128347110