What is the Least Common Multiple of 25216 and 25230?

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 25230 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 25230, than apply into the LCM equation.

GCF(25216,25230) = 2
LCM(25216,25230) = ( 25216 × 25230) / 2
LCM(25216,25230) = 636199680 / 2
LCM(25216,25230) = 318099840

Least Common Multiple (LCM) of 25216 and 25230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25216 and 25230. First we will calculate the prime factors of 25216 and 25230.

Prime Factorization of 25216

Prime Factorization of 25230

Now multiplying the highest exponent prime factors to calculate the LCM of 25216 and 25230.

LCM(25216,25230) = 2⁷ × 197¹ × 3¹ × 5¹ × 29²
LCM(25216,25230) = 318099840