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What is the Least Common Multiple of 24686 and 24691?

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 24686 and 24691 is 609522026.

LCM(24686,24691) = 609522026

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Least Common Multiple of 24686 and 24691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24686 and 24691, than apply into the LCM equation.

GCF(24686,24691) = 1
LCM(24686,24691) = ( 24686 × 24691) / 1
LCM(24686,24691) = 609522026 / 1
LCM(24686,24691) = 609522026

Least Common Multiple (LCM) of 24686 and 24691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24686 and 24691. First we will calculate the prime factors of 24686 and 24691.

Prime Factorization of 24686

Prime factors of 24686 are 2, 12343. Prime factorization of 24686 in exponential form is:

24686 = 21 × 123431

Prime Factorization of 24691

Prime factors of 24691 are 24691. Prime factorization of 24691 in exponential form is:

24691 = 246911

Now multiplying the highest exponent prime factors to calculate the LCM of 24686 and 24691.

LCM(24686,24691) = 21 × 123431 × 246911
LCM(24686,24691) = 609522026