What is the Least Common Multiple of 25385 and 25403?

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 25385 and 25403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25385 and 25403, than apply into the LCM equation.

GCF(25385,25403) = 1
LCM(25385,25403) = ( 25385 × 25403) / 1
LCM(25385,25403) = 644855155 / 1
LCM(25385,25403) = 644855155

Least Common Multiple (LCM) of 25385 and 25403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25385 and 25403. First we will calculate the prime factors of 25385 and 25403.

Prime Factorization of 25385

Prime Factorization of 25403

Now multiplying the highest exponent prime factors to calculate the LCM of 25385 and 25403.

LCM(25385,25403) = 5¹ × 5077¹ × 7¹ × 19¹ × 191¹
LCM(25385,25403) = 644855155