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What is the Least Common Multiple of 24479 and 24487?

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 24479 and 24487 is 599417273.

LCM(24479,24487) = 599417273

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Least Common Multiple of 24479 and 24487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24479 and 24487, than apply into the LCM equation.

GCF(24479,24487) = 1
LCM(24479,24487) = ( 24479 × 24487) / 1
LCM(24479,24487) = 599417273 / 1
LCM(24479,24487) = 599417273

Least Common Multiple (LCM) of 24479 and 24487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24479 and 24487. First we will calculate the prime factors of 24479 and 24487.

Prime Factorization of 24479

Prime factors of 24479 are 7, 13, 269. Prime factorization of 24479 in exponential form is:

24479 = 71 × 131 × 2691

Prime Factorization of 24487

Prime factors of 24487 are 47, 521. Prime factorization of 24487 in exponential form is:

24487 = 471 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 24479 and 24487.

LCM(24479,24487) = 71 × 131 × 2691 × 471 × 5211
LCM(24479,24487) = 599417273