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What is the Least Common Multiple of 17667 and 17673?

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 17667 and 17673 is 104076297.

LCM(17667,17673) = 104076297

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Least Common Multiple of 17667 and 17673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17667 and 17673, than apply into the LCM equation.

GCF(17667,17673) = 3
LCM(17667,17673) = ( 17667 × 17673) / 3
LCM(17667,17673) = 312228891 / 3
LCM(17667,17673) = 104076297

Least Common Multiple (LCM) of 17667 and 17673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17667 and 17673. First we will calculate the prime factors of 17667 and 17673.

Prime Factorization of 17667

Prime factors of 17667 are 3, 13, 151. Prime factorization of 17667 in exponential form is:

17667 = 32 × 131 × 1511

Prime Factorization of 17673

Prime factors of 17673 are 3, 43, 137. Prime factorization of 17673 in exponential form is:

17673 = 31 × 431 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 17667 and 17673.

LCM(17667,17673) = 32 × 131 × 1511 × 431 × 1371
LCM(17667,17673) = 104076297