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What is the Least Common Multiple of 25298 and 25312?

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 25298 and 25312 is 45738784.

LCM(25298,25312) = 45738784

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Least Common Multiple of 25298 and 25312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25298 and 25312, than apply into the LCM equation.

GCF(25298,25312) = 14
LCM(25298,25312) = ( 25298 × 25312) / 14
LCM(25298,25312) = 640342976 / 14
LCM(25298,25312) = 45738784

Least Common Multiple (LCM) of 25298 and 25312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25298 and 25312. First we will calculate the prime factors of 25298 and 25312.

Prime Factorization of 25298

Prime factors of 25298 are 2, 7, 13, 139. Prime factorization of 25298 in exponential form is:

25298 = 21 × 71 × 131 × 1391

Prime Factorization of 25312

Prime factors of 25312 are 2, 7, 113. Prime factorization of 25312 in exponential form is:

25312 = 25 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 25298 and 25312.

LCM(25298,25312) = 25 × 71 × 131 × 1391 × 1131
LCM(25298,25312) = 45738784