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What is the Least Common Multiple of 25213 and 25226?

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 25213 and 25226 is 636023138.

LCM(25213,25226) = 636023138

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Least Common Multiple of 25213 and 25226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25213 and 25226, than apply into the LCM equation.

GCF(25213,25226) = 1
LCM(25213,25226) = ( 25213 × 25226) / 1
LCM(25213,25226) = 636023138 / 1
LCM(25213,25226) = 636023138

Least Common Multiple (LCM) of 25213 and 25226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25213 and 25226. First we will calculate the prime factors of 25213 and 25226.

Prime Factorization of 25213

Prime factors of 25213 are 19, 1327. Prime factorization of 25213 in exponential form is:

25213 = 191 × 13271

Prime Factorization of 25226

Prime factors of 25226 are 2, 12613. Prime factorization of 25226 in exponential form is:

25226 = 21 × 126131

Now multiplying the highest exponent prime factors to calculate the LCM of 25213 and 25226.

LCM(25213,25226) = 191 × 13271 × 21 × 126131
LCM(25213,25226) = 636023138