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What is the Least Common Multiple of 25574 and 25593?

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 25593 is 34448178.

LCM(25574,25593) = 34448178

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Least Common Multiple of 25574 and 25593 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 25593, than apply into the LCM equation.

GCF(25574,25593) = 19
LCM(25574,25593) = ( 25574 × 25593) / 19
LCM(25574,25593) = 654515382 / 19
LCM(25574,25593) = 34448178

Least Common Multiple (LCM) of 25574 and 25593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25574 and 25593. First we will calculate the prime factors of 25574 and 25593.

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 25593

Prime factors of 25593 are 3, 19, 449. Prime factorization of 25593 in exponential form is:

25593 = 31 × 191 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 25574 and 25593.

LCM(25574,25593) = 21 × 191 × 6731 × 31 × 4491
LCM(25574,25593) = 34448178