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What is the Least Common Multiple of 24485 and 24498?

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 24485 and 24498 is 599833530.

LCM(24485,24498) = 599833530

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Least Common Multiple of 24485 and 24498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24485 and 24498, than apply into the LCM equation.

GCF(24485,24498) = 1
LCM(24485,24498) = ( 24485 × 24498) / 1
LCM(24485,24498) = 599833530 / 1
LCM(24485,24498) = 599833530

Least Common Multiple (LCM) of 24485 and 24498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24485 and 24498. First we will calculate the prime factors of 24485 and 24498.

Prime Factorization of 24485

Prime factors of 24485 are 5, 59, 83. Prime factorization of 24485 in exponential form is:

24485 = 51 × 591 × 831

Prime Factorization of 24498

Prime factors of 24498 are 2, 3, 1361. Prime factorization of 24498 in exponential form is:

24498 = 21 × 32 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 24485 and 24498.

LCM(24485,24498) = 51 × 591 × 831 × 21 × 32 × 13611
LCM(24485,24498) = 599833530