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What is the Least Common Multiple of 17978 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 17978 and 17982 is 161640198.

LCM(17978,17982) = 161640198

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Least Common Multiple of 17978 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 17978 and 17982, than apply into the LCM equation.

GCF(17978,17982) = 2
LCM(17978,17982) = ( 17978 × 17982) / 2
LCM(17978,17982) = 323280396 / 2
LCM(17978,17982) = 161640198

Least Common Multiple (LCM) of 17978 and 17982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17978 and 17982. First we will calculate the prime factors of 17978 and 17982.

Prime Factorization of 17978

Prime factors of 17978 are 2, 89, 101. Prime factorization of 17978 in exponential form is:

17978 = 21 × 891 × 1011

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 17978 and 17982.

LCM(17978,17982) = 21 × 891 × 1011 × 35 × 371
LCM(17978,17982) = 161640198