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What is the Least Common Multiple of 25207 and 25213?

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 25207 and 25213 is 635544091.

LCM(25207,25213) = 635544091

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Least Common Multiple of 25207 and 25213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25207 and 25213, than apply into the LCM equation.

GCF(25207,25213) = 1
LCM(25207,25213) = ( 25207 × 25213) / 1
LCM(25207,25213) = 635544091 / 1
LCM(25207,25213) = 635544091

Least Common Multiple (LCM) of 25207 and 25213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25207 and 25213. First we will calculate the prime factors of 25207 and 25213.

Prime Factorization of 25207

Prime factors of 25207 are 7, 13, 277. Prime factorization of 25207 in exponential form is:

25207 = 71 × 131 × 2771

Prime Factorization of 25213

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

25213 = 191 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 25207 and 25213.

LCM(25207,25213) = 71 × 131 × 2771 × 191 × 13271
LCM(25207,25213) = 635544091