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What is the Least Common Multiple of 16372 and 16388?

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 16372 and 16388 is 67076084.

LCM(16372,16388) = 67076084

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Least Common Multiple of 16372 and 16388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16372 and 16388, than apply into the LCM equation.

GCF(16372,16388) = 4
LCM(16372,16388) = ( 16372 × 16388) / 4
LCM(16372,16388) = 268304336 / 4
LCM(16372,16388) = 67076084

Least Common Multiple (LCM) of 16372 and 16388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16372 and 16388. First we will calculate the prime factors of 16372 and 16388.

Prime Factorization of 16372

Prime factors of 16372 are 2, 4093. Prime factorization of 16372 in exponential form is:

16372 = 22 × 40931

Prime Factorization of 16388

Prime factors of 16388 are 2, 17, 241. Prime factorization of 16388 in exponential form is:

16388 = 22 × 171 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 16372 and 16388.

LCM(16372,16388) = 22 × 40931 × 171 × 2411
LCM(16372,16388) = 67076084