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What is the Least Common Multiple of 17966 and 17983?

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 17966 and 17983 is 323082578.

LCM(17966,17983) = 323082578

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Least Common Multiple of 17966 and 17983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17966 and 17983, than apply into the LCM equation.

GCF(17966,17983) = 1
LCM(17966,17983) = ( 17966 × 17983) / 1
LCM(17966,17983) = 323082578 / 1
LCM(17966,17983) = 323082578

Least Common Multiple (LCM) of 17966 and 17983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17966 and 17983. First we will calculate the prime factors of 17966 and 17983.

Prime Factorization of 17966

Prime factors of 17966 are 2, 13, 691. Prime factorization of 17966 in exponential form is:

17966 = 21 × 131 × 6911

Prime Factorization of 17983

Prime factors of 17983 are 7, 367. Prime factorization of 17983 in exponential form is:

17983 = 72 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 17966 and 17983.

LCM(17966,17983) = 21 × 131 × 6911 × 72 × 3671
LCM(17966,17983) = 323082578