What is the Least Common Multiple of 25205 and 25216?

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 25216 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 25216, than apply into the LCM equation.

GCF(25205,25216) = 1
LCM(25205,25216) = ( 25205 × 25216) / 1
LCM(25205,25216) = 635569280 / 1
LCM(25205,25216) = 635569280

Least Common Multiple (LCM) of 25205 and 25216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25205 and 25216. First we will calculate the prime factors of 25205 and 25216.

Prime Factorization of 25205

Prime Factorization of 25216

Now multiplying the highest exponent prime factors to calculate the LCM of 25205 and 25216.

LCM(25205,25216) = 5¹ × 71² × 2⁷ × 197¹
LCM(25205,25216) = 635569280