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What is the Least Common Multiple of 25555 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 25555 and 25565 is 130662715.

LCM(25555,25565) = 130662715

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Least Common Multiple of 25555 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 25555 and 25565, than apply into the LCM equation.

GCF(25555,25565) = 5
LCM(25555,25565) = ( 25555 × 25565) / 5
LCM(25555,25565) = 653313575 / 5
LCM(25555,25565) = 130662715

Least Common Multiple (LCM) of 25555 and 25565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25555 and 25565. First we will calculate the prime factors of 25555 and 25565.

Prime Factorization of 25555

Prime factors of 25555 are 5, 19, 269. Prime factorization of 25555 in exponential form is:

25555 = 51 × 191 × 2691

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 25555 and 25565.

LCM(25555,25565) = 51 × 191 × 2691 × 51131
LCM(25555,25565) = 130662715