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What is the Least Common Multiple of 25477 and 25495?

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 25477 and 25495 is 649536115.

LCM(25477,25495) = 649536115

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Least Common Multiple of 25477 and 25495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25477 and 25495, than apply into the LCM equation.

GCF(25477,25495) = 1
LCM(25477,25495) = ( 25477 × 25495) / 1
LCM(25477,25495) = 649536115 / 1
LCM(25477,25495) = 649536115

Least Common Multiple (LCM) of 25477 and 25495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25477 and 25495. First we will calculate the prime factors of 25477 and 25495.

Prime Factorization of 25477

Prime factors of 25477 are 73, 349. Prime factorization of 25477 in exponential form is:

25477 = 731 × 3491

Prime Factorization of 25495

Prime factors of 25495 are 5, 5099. Prime factorization of 25495 in exponential form is:

25495 = 51 × 50991

Now multiplying the highest exponent prime factors to calculate the LCM of 25477 and 25495.

LCM(25477,25495) = 731 × 3491 × 51 × 50991
LCM(25477,25495) = 649536115