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What is the Least Common Multiple of 25574 and 25581?

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 25574 and 25581 is 654208494.

LCM(25574,25581) = 654208494

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Least Common Multiple of 25574 and 25581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25574 and 25581, than apply into the LCM equation.

GCF(25574,25581) = 1
LCM(25574,25581) = ( 25574 × 25581) / 1
LCM(25574,25581) = 654208494 / 1
LCM(25574,25581) = 654208494

Least Common Multiple (LCM) of 25574 and 25581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25574 and 25581. First we will calculate the prime factors of 25574 and 25581.

Prime Factorization of 25574

Prime factors of 25574 are 2, 19, 673. Prime factorization of 25574 in exponential form is:

25574 = 21 × 191 × 6731

Prime Factorization of 25581

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

25581 = 31 × 85271

Now multiplying the highest exponent prime factors to calculate the LCM of 25574 and 25581.

LCM(25574,25581) = 21 × 191 × 6731 × 31 × 85271
LCM(25574,25581) = 654208494