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What is the Least Common Multiple of 16378 and 16394?

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 16378 and 16394 is 134250466.

LCM(16378,16394) = 134250466

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Least Common Multiple of 16378 and 16394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16378 and 16394, than apply into the LCM equation.

GCF(16378,16394) = 2
LCM(16378,16394) = ( 16378 × 16394) / 2
LCM(16378,16394) = 268500932 / 2
LCM(16378,16394) = 134250466

Least Common Multiple (LCM) of 16378 and 16394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16378 and 16394. First we will calculate the prime factors of 16378 and 16394.

Prime Factorization of 16378

Prime factors of 16378 are 2, 19, 431. Prime factorization of 16378 in exponential form is:

16378 = 21 × 191 × 4311

Prime Factorization of 16394

Prime factors of 16394 are 2, 7, 1171. Prime factorization of 16394 in exponential form is:

16394 = 21 × 71 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 16378 and 16394.

LCM(16378,16394) = 21 × 191 × 4311 × 71 × 11711
LCM(16378,16394) = 134250466