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What is the Least Common Multiple of 17978 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 17978 and 17983 is 323298374.

LCM(17978,17983) = 323298374

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Least Common Multiple of 17978 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 17978 and 17983, than apply into the LCM equation.

GCF(17978,17983) = 1
LCM(17978,17983) = ( 17978 × 17983) / 1
LCM(17978,17983) = 323298374 / 1
LCM(17978,17983) = 323298374

Least Common Multiple (LCM) of 17978 and 17983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17978 and 17983. First we will calculate the prime factors of 17978 and 17983.

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 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 17978 and 17983.

LCM(17978,17983) = 21 × 891 × 1011 × 72 × 3671
LCM(17978,17983) = 323298374