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What is the Least Common Multiple of 25581 and 25597?

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 25581 and 25597 is 654796857.

LCM(25581,25597) = 654796857

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Least Common Multiple of 25581 and 25597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25581 and 25597, than apply into the LCM equation.

GCF(25581,25597) = 1
LCM(25581,25597) = ( 25581 × 25597) / 1
LCM(25581,25597) = 654796857 / 1
LCM(25581,25597) = 654796857

Least Common Multiple (LCM) of 25581 and 25597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25581 and 25597. First we will calculate the prime factors of 25581 and 25597.

Prime Factorization of 25581

Prime factors of 25581 are 3, 8527. Prime factorization of 25581 in exponential form is:

25581 = 31 × 85271

Prime Factorization of 25597

Prime factors of 25597 are 11, 13, 179. Prime factorization of 25597 in exponential form is:

25597 = 111 × 131 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 25581 and 25597.

LCM(25581,25597) = 31 × 85271 × 111 × 131 × 1791
LCM(25581,25597) = 654796857