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What is the Least Common Multiple of 17749 and 17768?

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 17749 and 17768 is 315364232.

LCM(17749,17768) = 315364232

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Least Common Multiple of 17749 and 17768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17749 and 17768, than apply into the LCM equation.

GCF(17749,17768) = 1
LCM(17749,17768) = ( 17749 × 17768) / 1
LCM(17749,17768) = 315364232 / 1
LCM(17749,17768) = 315364232

Least Common Multiple (LCM) of 17749 and 17768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17749 and 17768. First we will calculate the prime factors of 17749 and 17768.

Prime Factorization of 17749

Prime factors of 17749 are 17749. Prime factorization of 17749 in exponential form is:

17749 = 177491

Prime Factorization of 17768

Prime factors of 17768 are 2, 2221. Prime factorization of 17768 in exponential form is:

17768 = 23 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 17749 and 17768.

LCM(17749,17768) = 177491 × 23 × 22211
LCM(17749,17768) = 315364232