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What is the Least Common Multiple of 16969 and 16974?

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 16969 and 16974 is 288031806.

LCM(16969,16974) = 288031806

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Least Common Multiple of 16969 and 16974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16969 and 16974, than apply into the LCM equation.

GCF(16969,16974) = 1
LCM(16969,16974) = ( 16969 × 16974) / 1
LCM(16969,16974) = 288031806 / 1
LCM(16969,16974) = 288031806

Least Common Multiple (LCM) of 16969 and 16974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16969 and 16974. First we will calculate the prime factors of 16969 and 16974.

Prime Factorization of 16969

Prime factors of 16969 are 71, 239. Prime factorization of 16969 in exponential form is:

16969 = 711 × 2391

Prime Factorization of 16974

Prime factors of 16974 are 2, 3, 23, 41. Prime factorization of 16974 in exponential form is:

16974 = 21 × 32 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 16969 and 16974.

LCM(16969,16974) = 711 × 2391 × 21 × 32 × 231 × 411
LCM(16969,16974) = 288031806