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What is the Least Common Multiple of 25249 and 25263?

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 25249 and 25263 is 91123641.

LCM(25249,25263) = 91123641

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Least Common Multiple of 25249 and 25263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25249 and 25263, than apply into the LCM equation.

GCF(25249,25263) = 7
LCM(25249,25263) = ( 25249 × 25263) / 7
LCM(25249,25263) = 637865487 / 7
LCM(25249,25263) = 91123641

Least Common Multiple (LCM) of 25249 and 25263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25249 and 25263. First we will calculate the prime factors of 25249 and 25263.

Prime Factorization of 25249

Prime factors of 25249 are 7, 3607. Prime factorization of 25249 in exponential form is:

25249 = 71 × 36071

Prime Factorization of 25263

Prime factors of 25263 are 3, 7, 401. Prime factorization of 25263 in exponential form is:

25263 = 32 × 71 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 25249 and 25263.

LCM(25249,25263) = 71 × 36071 × 32 × 4011
LCM(25249,25263) = 91123641