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What is the Least Common Multiple of 25546 and 25565?

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 25546 and 25565 is 653083490.

LCM(25546,25565) = 653083490

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Least Common Multiple of 25546 and 25565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25546 and 25565, than apply into the LCM equation.

GCF(25546,25565) = 1
LCM(25546,25565) = ( 25546 × 25565) / 1
LCM(25546,25565) = 653083490 / 1
LCM(25546,25565) = 653083490

Least Common Multiple (LCM) of 25546 and 25565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25546 and 25565. First we will calculate the prime factors of 25546 and 25565.

Prime Factorization of 25546

Prime factors of 25546 are 2, 53, 241. Prime factorization of 25546 in exponential form is:

25546 = 21 × 531 × 2411

Prime Factorization of 25565

Prime factors of 25565 are 5, 5113. Prime factorization of 25565 in exponential form is:

25565 = 51 × 51131

Now multiplying the highest exponent prime factors to calculate the LCM of 25546 and 25565.

LCM(25546,25565) = 21 × 531 × 2411 × 51 × 51131
LCM(25546,25565) = 653083490