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What is the Least Common Multiple of 25490 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 25490 and 25495 is 129973510.

LCM(25490,25495) = 129973510

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Least Common Multiple of 25490 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 25490 and 25495, than apply into the LCM equation.

GCF(25490,25495) = 5
LCM(25490,25495) = ( 25490 × 25495) / 5
LCM(25490,25495) = 649867550 / 5
LCM(25490,25495) = 129973510

Least Common Multiple (LCM) of 25490 and 25495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25490 and 25495. First we will calculate the prime factors of 25490 and 25495.

Prime Factorization of 25490

Prime factors of 25490 are 2, 5, 2549. Prime factorization of 25490 in exponential form is:

25490 = 21 × 51 × 25491

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 25490 and 25495.

LCM(25490,25495) = 21 × 51 × 25491 × 50991
LCM(25490,25495) = 129973510