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What is the Least Common Multiple of 25874 and 25880?

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 25874 and 25880 is 334809560.

LCM(25874,25880) = 334809560

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Least Common Multiple of 25874 and 25880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25874 and 25880, than apply into the LCM equation.

GCF(25874,25880) = 2
LCM(25874,25880) = ( 25874 × 25880) / 2
LCM(25874,25880) = 669619120 / 2
LCM(25874,25880) = 334809560

Least Common Multiple (LCM) of 25874 and 25880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25874 and 25880. First we will calculate the prime factors of 25874 and 25880.

Prime Factorization of 25874

Prime factors of 25874 are 2, 17, 761. Prime factorization of 25874 in exponential form is:

25874 = 21 × 171 × 7611

Prime Factorization of 25880

Prime factors of 25880 are 2, 5, 647. Prime factorization of 25880 in exponential form is:

25880 = 23 × 51 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 25874 and 25880.

LCM(25874,25880) = 23 × 171 × 7611 × 51 × 6471
LCM(25874,25880) = 334809560