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What is the Least Common Multiple of 25490 and 25510?

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 25510 is 65024990.

LCM(25490,25510) = 65024990

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Least Common Multiple of 25490 and 25510 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 25510, than apply into the LCM equation.

GCF(25490,25510) = 10
LCM(25490,25510) = ( 25490 × 25510) / 10
LCM(25490,25510) = 650249900 / 10
LCM(25490,25510) = 65024990

Least Common Multiple (LCM) of 25490 and 25510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25490 and 25510. First we will calculate the prime factors of 25490 and 25510.

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 25510

Prime factors of 25510 are 2, 5, 2551. Prime factorization of 25510 in exponential form is:

25510 = 21 × 51 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 25490 and 25510.

LCM(25490,25510) = 21 × 51 × 25491 × 25511
LCM(25490,25510) = 65024990