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What is the Least Common Multiple of 25506 and 25525?

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 25506 and 25525 is 651040650.

LCM(25506,25525) = 651040650

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Least Common Multiple of 25506 and 25525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25506 and 25525, than apply into the LCM equation.

GCF(25506,25525) = 1
LCM(25506,25525) = ( 25506 × 25525) / 1
LCM(25506,25525) = 651040650 / 1
LCM(25506,25525) = 651040650

Least Common Multiple (LCM) of 25506 and 25525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25506 and 25525. First we will calculate the prime factors of 25506 and 25525.

Prime Factorization of 25506

Prime factors of 25506 are 2, 3, 13, 109. Prime factorization of 25506 in exponential form is:

25506 = 21 × 32 × 131 × 1091

Prime Factorization of 25525

Prime factors of 25525 are 5, 1021. Prime factorization of 25525 in exponential form is:

25525 = 52 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 25506 and 25525.

LCM(25506,25525) = 21 × 32 × 131 × 1091 × 52 × 10211
LCM(25506,25525) = 651040650