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What is the Least Common Multiple of 25208 and 25218?

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 25208 and 25218 is 317847672.

LCM(25208,25218) = 317847672

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Least Common Multiple of 25208 and 25218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25208 and 25218, than apply into the LCM equation.

GCF(25208,25218) = 2
LCM(25208,25218) = ( 25208 × 25218) / 2
LCM(25208,25218) = 635695344 / 2
LCM(25208,25218) = 317847672

Least Common Multiple (LCM) of 25208 and 25218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25208 and 25218. First we will calculate the prime factors of 25208 and 25218.

Prime Factorization of 25208

Prime factors of 25208 are 2, 23, 137. Prime factorization of 25208 in exponential form is:

25208 = 23 × 231 × 1371

Prime Factorization of 25218

Prime factors of 25218 are 2, 3, 467. Prime factorization of 25218 in exponential form is:

25218 = 21 × 33 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 25208 and 25218.

LCM(25208,25218) = 23 × 231 × 1371 × 33 × 4671
LCM(25208,25218) = 317847672