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What is the Least Common Multiple of 16664 and 16678?

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 16664 and 16678 is 138961096.

LCM(16664,16678) = 138961096

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Least Common Multiple of 16664 and 16678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16664 and 16678, than apply into the LCM equation.

GCF(16664,16678) = 2
LCM(16664,16678) = ( 16664 × 16678) / 2
LCM(16664,16678) = 277922192 / 2
LCM(16664,16678) = 138961096

Least Common Multiple (LCM) of 16664 and 16678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16664 and 16678. First we will calculate the prime factors of 16664 and 16678.

Prime Factorization of 16664

Prime factors of 16664 are 2, 2083. Prime factorization of 16664 in exponential form is:

16664 = 23 × 20831

Prime Factorization of 16678

Prime factors of 16678 are 2, 31, 269. Prime factorization of 16678 in exponential form is:

16678 = 21 × 311 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 16664 and 16678.

LCM(16664,16678) = 23 × 20831 × 311 × 2691
LCM(16664,16678) = 138961096