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What is the Least Common Multiple of 25234 and 25252?

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 25234 and 25252 is 318604484.

LCM(25234,25252) = 318604484

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Least Common Multiple of 25234 and 25252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25234 and 25252, than apply into the LCM equation.

GCF(25234,25252) = 2
LCM(25234,25252) = ( 25234 × 25252) / 2
LCM(25234,25252) = 637208968 / 2
LCM(25234,25252) = 318604484

Least Common Multiple (LCM) of 25234 and 25252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25234 and 25252. First we will calculate the prime factors of 25234 and 25252.

Prime Factorization of 25234

Prime factors of 25234 are 2, 11, 31, 37. Prime factorization of 25234 in exponential form is:

25234 = 21 × 111 × 311 × 371

Prime Factorization of 25252

Prime factors of 25252 are 2, 59, 107. Prime factorization of 25252 in exponential form is:

25252 = 22 × 591 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 25234 and 25252.

LCM(25234,25252) = 22 × 111 × 311 × 371 × 591 × 1071
LCM(25234,25252) = 318604484