What is the Least Common Multiple of 25479 and 25485?

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 25479 and 25485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25479 and 25485, than apply into the LCM equation.

GCF(25479,25485) = 3
LCM(25479,25485) = ( 25479 × 25485) / 3
LCM(25479,25485) = 649332315 / 3
LCM(25479,25485) = 216444105

Least Common Multiple (LCM) of 25479 and 25485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25479 and 25485. First we will calculate the prime factors of 25479 and 25485.

Prime Factorization of 25479

Prime Factorization of 25485

Now multiplying the highest exponent prime factors to calculate the LCM of 25479 and 25485.

LCM(25479,25485) = 3² × 19¹ × 149¹ × 5¹ × 1699¹
LCM(25479,25485) = 216444105