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What is the Least Common Multiple of 24665 and 24669?

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 24665 and 24669 is 608460885.

LCM(24665,24669) = 608460885

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Least Common Multiple of 24665 and 24669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24665 and 24669, than apply into the LCM equation.

GCF(24665,24669) = 1
LCM(24665,24669) = ( 24665 × 24669) / 1
LCM(24665,24669) = 608460885 / 1
LCM(24665,24669) = 608460885

Least Common Multiple (LCM) of 24665 and 24669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24665 and 24669. First we will calculate the prime factors of 24665 and 24669.

Prime Factorization of 24665

Prime factors of 24665 are 5, 4933. Prime factorization of 24665 in exponential form is:

24665 = 51 × 49331

Prime Factorization of 24669

Prime factors of 24669 are 3, 2741. Prime factorization of 24669 in exponential form is:

24669 = 32 × 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 24665 and 24669.

LCM(24665,24669) = 51 × 49331 × 32 × 27411
LCM(24665,24669) = 608460885