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What is the Least Common Multiple of 25605 and 25610?

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 25605 and 25610 is 131148810.

LCM(25605,25610) = 131148810

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Least Common Multiple of 25605 and 25610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25605 and 25610, than apply into the LCM equation.

GCF(25605,25610) = 5
LCM(25605,25610) = ( 25605 × 25610) / 5
LCM(25605,25610) = 655744050 / 5
LCM(25605,25610) = 131148810

Least Common Multiple (LCM) of 25605 and 25610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25605 and 25610. First we will calculate the prime factors of 25605 and 25610.

Prime Factorization of 25605

Prime factors of 25605 are 3, 5, 569. Prime factorization of 25605 in exponential form is:

25605 = 32 × 51 × 5691

Prime Factorization of 25610

Prime factors of 25610 are 2, 5, 13, 197. Prime factorization of 25610 in exponential form is:

25610 = 21 × 51 × 131 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 25605 and 25610.

LCM(25605,25610) = 32 × 51 × 5691 × 21 × 131 × 1971
LCM(25605,25610) = 131148810