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What is the Least Common Multiple of 25197 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 (LCM) of 25197 and 25216 is 635367552.

LCM(25197,25216) = 635367552

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Least Common Multiple of 25197 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 25197 and 25216, than apply into the LCM equation.

GCF(25197,25216) = 1
LCM(25197,25216) = ( 25197 × 25216) / 1
LCM(25197,25216) = 635367552 / 1
LCM(25197,25216) = 635367552

Least Common Multiple (LCM) of 25197 and 25216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25197 and 25216. First we will calculate the prime factors of 25197 and 25216.

Prime Factorization of 25197

Prime factors of 25197 are 3, 37, 227. Prime factorization of 25197 in exponential form is:

25197 = 31 × 371 × 2271

Prime Factorization of 25216

Prime factors of 25216 are 2, 197. Prime factorization of 25216 in exponential form is:

25216 = 27 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 25197 and 25216.

LCM(25197,25216) = 31 × 371 × 2271 × 27 × 1971
LCM(25197,25216) = 635367552