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What is the Least Common Multiple of 24481 and 24492?

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 24481 and 24492 is 599588652.

LCM(24481,24492) = 599588652

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Least Common Multiple of 24481 and 24492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24481 and 24492, than apply into the LCM equation.

GCF(24481,24492) = 1
LCM(24481,24492) = ( 24481 × 24492) / 1
LCM(24481,24492) = 599588652 / 1
LCM(24481,24492) = 599588652

Least Common Multiple (LCM) of 24481 and 24492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24481 and 24492. First we will calculate the prime factors of 24481 and 24492.

Prime Factorization of 24481

Prime factors of 24481 are 24481. Prime factorization of 24481 in exponential form is:

24481 = 244811

Prime Factorization of 24492

Prime factors of 24492 are 2, 3, 13, 157. Prime factorization of 24492 in exponential form is:

24492 = 22 × 31 × 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 24481 and 24492.

LCM(24481,24492) = 244811 × 22 × 31 × 131 × 1571
LCM(24481,24492) = 599588652