What is the Least Common Multiple of 25205 and 25213?

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 25205 and 25213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25205 and 25213, than apply into the LCM equation.

GCF(25205,25213) = 1
LCM(25205,25213) = ( 25205 × 25213) / 1
LCM(25205,25213) = 635493665 / 1
LCM(25205,25213) = 635493665

Least Common Multiple (LCM) of 25205 and 25213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25205 and 25213. First we will calculate the prime factors of 25205 and 25213.

Prime Factorization of 25205

Prime Factorization of 25213

Now multiplying the highest exponent prime factors to calculate the LCM of 25205 and 25213.

LCM(25205,25213) = 5¹ × 71² × 19¹ × 1327¹
LCM(25205,25213) = 635493665