What is the Least Common Multiple of 25216 and 25229?

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 25216 and 25229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25216 and 25229, than apply into the LCM equation.

GCF(25216,25229) = 1
LCM(25216,25229) = ( 25216 × 25229) / 1
LCM(25216,25229) = 636174464 / 1
LCM(25216,25229) = 636174464

Least Common Multiple (LCM) of 25216 and 25229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25216 and 25229. First we will calculate the prime factors of 25216 and 25229.

Prime Factorization of 25216

Prime Factorization of 25229

Now multiplying the highest exponent prime factors to calculate the LCM of 25216 and 25229.

LCM(25216,25229) = 2⁷ × 197¹ × 25229¹
LCM(25216,25229) = 636174464