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What is the Least Common Multiple of 17965 and 17982?

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 17965 and 17982 is 323046630.

LCM(17965,17982) = 323046630

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Least Common Multiple of 17965 and 17982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17965 and 17982, than apply into the LCM equation.

GCF(17965,17982) = 1
LCM(17965,17982) = ( 17965 × 17982) / 1
LCM(17965,17982) = 323046630 / 1
LCM(17965,17982) = 323046630

Least Common Multiple (LCM) of 17965 and 17982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17965 and 17982. First we will calculate the prime factors of 17965 and 17982.

Prime Factorization of 17965

Prime factors of 17965 are 5, 3593. Prime factorization of 17965 in exponential form is:

17965 = 51 × 35931

Prime Factorization of 17982

Prime factors of 17982 are 2, 3, 37. Prime factorization of 17982 in exponential form is:

17982 = 21 × 35 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 17965 and 17982.

LCM(17965,17982) = 51 × 35931 × 21 × 35 × 371
LCM(17965,17982) = 323046630