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What is the Least Common Multiple of 24340 and 24349?

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 24340 and 24349 is 592654660.

LCM(24340,24349) = 592654660

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Least Common Multiple of 24340 and 24349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24340 and 24349, than apply into the LCM equation.

GCF(24340,24349) = 1
LCM(24340,24349) = ( 24340 × 24349) / 1
LCM(24340,24349) = 592654660 / 1
LCM(24340,24349) = 592654660

Least Common Multiple (LCM) of 24340 and 24349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24340 and 24349. First we will calculate the prime factors of 24340 and 24349.

Prime Factorization of 24340

Prime factors of 24340 are 2, 5, 1217. Prime factorization of 24340 in exponential form is:

24340 = 22 × 51 × 12171

Prime Factorization of 24349

Prime factors of 24349 are 13, 1873. Prime factorization of 24349 in exponential form is:

24349 = 131 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 24340 and 24349.

LCM(24340,24349) = 22 × 51 × 12171 × 131 × 18731
LCM(24340,24349) = 592654660