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What is the Least Common Multiple of 16338 and 16358?

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 16338 and 16358 is 133628502.

LCM(16338,16358) = 133628502

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Least Common Multiple of 16338 and 16358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16338 and 16358, than apply into the LCM equation.

GCF(16338,16358) = 2
LCM(16338,16358) = ( 16338 × 16358) / 2
LCM(16338,16358) = 267257004 / 2
LCM(16338,16358) = 133628502

Least Common Multiple (LCM) of 16338 and 16358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16338 and 16358. First we will calculate the prime factors of 16338 and 16358.

Prime Factorization of 16338

Prime factors of 16338 are 2, 3, 7, 389. Prime factorization of 16338 in exponential form is:

16338 = 21 × 31 × 71 × 3891

Prime Factorization of 16358

Prime factors of 16358 are 2, 8179. Prime factorization of 16358 in exponential form is:

16358 = 21 × 81791

Now multiplying the highest exponent prime factors to calculate the LCM of 16338 and 16358.

LCM(16338,16358) = 21 × 31 × 71 × 3891 × 81791
LCM(16338,16358) = 133628502