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What is the Least Common Multiple of 16394 and 16406?

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 16406 is 134479982.

LCM(16394,16406) = 134479982

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Least Common Multiple of 16394 and 16406 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 16406, than apply into the LCM equation.

GCF(16394,16406) = 2
LCM(16394,16406) = ( 16394 × 16406) / 2
LCM(16394,16406) = 268959964 / 2
LCM(16394,16406) = 134479982

Least Common Multiple (LCM) of 16394 and 16406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16394 and 16406. First we will calculate the prime factors of 16394 and 16406.

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 16406

Prime factors of 16406 are 2, 13, 631. Prime factorization of 16406 in exponential form is:

16406 = 21 × 131 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 16394 and 16406.

LCM(16394,16406) = 21 × 71 × 11711 × 131 × 6311
LCM(16394,16406) = 134479982