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What is the Least Common Multiple of 25810 and 25816?

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 25810 and 25816 is 333155480.

LCM(25810,25816) = 333155480

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Least Common Multiple of 25810 and 25816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25810 and 25816, than apply into the LCM equation.

GCF(25810,25816) = 2
LCM(25810,25816) = ( 25810 × 25816) / 2
LCM(25810,25816) = 666310960 / 2
LCM(25810,25816) = 333155480

Least Common Multiple (LCM) of 25810 and 25816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25810 and 25816. First we will calculate the prime factors of 25810 and 25816.

Prime Factorization of 25810

Prime factors of 25810 are 2, 5, 29, 89. Prime factorization of 25810 in exponential form is:

25810 = 21 × 51 × 291 × 891

Prime Factorization of 25816

Prime factors of 25816 are 2, 7, 461. Prime factorization of 25816 in exponential form is:

25816 = 23 × 71 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 25810 and 25816.

LCM(25810,25816) = 23 × 51 × 291 × 891 × 71 × 4611
LCM(25810,25816) = 333155480