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What is the Least Common Multiple of 24411 and 24415?

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 24411 and 24415 is 595994565.

LCM(24411,24415) = 595994565

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Least Common Multiple of 24411 and 24415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24411 and 24415, than apply into the LCM equation.

GCF(24411,24415) = 1
LCM(24411,24415) = ( 24411 × 24415) / 1
LCM(24411,24415) = 595994565 / 1
LCM(24411,24415) = 595994565

Least Common Multiple (LCM) of 24411 and 24415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24411 and 24415. First we will calculate the prime factors of 24411 and 24415.

Prime Factorization of 24411

Prime factors of 24411 are 3, 79, 103. Prime factorization of 24411 in exponential form is:

24411 = 31 × 791 × 1031

Prime Factorization of 24415

Prime factors of 24415 are 5, 19, 257. Prime factorization of 24415 in exponential form is:

24415 = 51 × 191 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 24411 and 24415.

LCM(24411,24415) = 31 × 791 × 1031 × 51 × 191 × 2571
LCM(24411,24415) = 595994565