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What is the Least Common Multiple of 24647 and 24655?

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 24647 and 24655 is 607671785.

LCM(24647,24655) = 607671785

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Least Common Multiple of 24647 and 24655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24647 and 24655, than apply into the LCM equation.

GCF(24647,24655) = 1
LCM(24647,24655) = ( 24647 × 24655) / 1
LCM(24647,24655) = 607671785 / 1
LCM(24647,24655) = 607671785

Least Common Multiple (LCM) of 24647 and 24655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24647 and 24655. First we will calculate the prime factors of 24647 and 24655.

Prime Factorization of 24647

Prime factors of 24647 are 7, 503. Prime factorization of 24647 in exponential form is:

24647 = 72 × 5031

Prime Factorization of 24655

Prime factors of 24655 are 5, 4931. Prime factorization of 24655 in exponential form is:

24655 = 51 × 49311

Now multiplying the highest exponent prime factors to calculate the LCM of 24647 and 24655.

LCM(24647,24655) = 72 × 5031 × 51 × 49311
LCM(24647,24655) = 607671785