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What is the Least Common Multiple of 16394 and 16400?

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 16394 and 16400 is 134430800.

LCM(16394,16400) = 134430800

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Least Common Multiple of 16394 and 16400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16394 and 16400, than apply into the LCM equation.

GCF(16394,16400) = 2
LCM(16394,16400) = ( 16394 × 16400) / 2
LCM(16394,16400) = 268861600 / 2
LCM(16394,16400) = 134430800

Least Common Multiple (LCM) of 16394 and 16400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16394 and 16400. First we will calculate the prime factors of 16394 and 16400.

Prime Factorization of 16394

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

16394 = 21 × 71 × 11711

Prime Factorization of 16400

Prime factors of 16400 are 2, 5, 41. Prime factorization of 16400 in exponential form is:

16400 = 24 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 16394 and 16400.

LCM(16394,16400) = 24 × 71 × 11711 × 52 × 411
LCM(16394,16400) = 134430800