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What is the Least Common Multiple of 25502 and 25522?

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 25502 and 25522 is 325431022.

LCM(25502,25522) = 325431022

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Least Common Multiple of 25502 and 25522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25502 and 25522, than apply into the LCM equation.

GCF(25502,25522) = 2
LCM(25502,25522) = ( 25502 × 25522) / 2
LCM(25502,25522) = 650862044 / 2
LCM(25502,25522) = 325431022

Least Common Multiple (LCM) of 25502 and 25522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25502 and 25522. First we will calculate the prime factors of 25502 and 25522.

Prime Factorization of 25502

Prime factors of 25502 are 2, 41, 311. Prime factorization of 25502 in exponential form is:

25502 = 21 × 411 × 3111

Prime Factorization of 25522

Prime factors of 25522 are 2, 7, 1823. Prime factorization of 25522 in exponential form is:

25522 = 21 × 71 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 25502 and 25522.

LCM(25502,25522) = 21 × 411 × 3111 × 71 × 18231
LCM(25502,25522) = 325431022