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What is the Least Common Multiple of 17967 and 17986?

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 17967 and 17986 is 323154462.

LCM(17967,17986) = 323154462

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Least Common Multiple of 17967 and 17986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17967 and 17986, than apply into the LCM equation.

GCF(17967,17986) = 1
LCM(17967,17986) = ( 17967 × 17986) / 1
LCM(17967,17986) = 323154462 / 1
LCM(17967,17986) = 323154462

Least Common Multiple (LCM) of 17967 and 17986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17967 and 17986. First we will calculate the prime factors of 17967 and 17986.

Prime Factorization of 17967

Prime factors of 17967 are 3, 53, 113. Prime factorization of 17967 in exponential form is:

17967 = 31 × 531 × 1131

Prime Factorization of 17986

Prime factors of 17986 are 2, 17, 23. Prime factorization of 17986 in exponential form is:

17986 = 21 × 171 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 17967 and 17986.

LCM(17967,17986) = 31 × 531 × 1131 × 21 × 171 × 232
LCM(17967,17986) = 323154462