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What is the Least Common Multiple of 24310 and 24327?

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 24310 and 24327 is 34787610.

LCM(24310,24327) = 34787610

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Least Common Multiple of 24310 and 24327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24310 and 24327, than apply into the LCM equation.

GCF(24310,24327) = 17
LCM(24310,24327) = ( 24310 × 24327) / 17
LCM(24310,24327) = 591389370 / 17
LCM(24310,24327) = 34787610

Least Common Multiple (LCM) of 24310 and 24327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24310 and 24327. First we will calculate the prime factors of 24310 and 24327.

Prime Factorization of 24310

Prime factors of 24310 are 2, 5, 11, 13, 17. Prime factorization of 24310 in exponential form is:

24310 = 21 × 51 × 111 × 131 × 171

Prime Factorization of 24327

Prime factors of 24327 are 3, 17, 53. Prime factorization of 24327 in exponential form is:

24327 = 33 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 24310 and 24327.

LCM(24310,24327) = 21 × 51 × 111 × 131 × 171 × 33 × 531
LCM(24310,24327) = 34787610