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What is the Least Common Multiple of 16354 and 16372?

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 16354 and 16372 is 133873844.

LCM(16354,16372) = 133873844

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Least Common Multiple of 16354 and 16372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16354 and 16372, than apply into the LCM equation.

GCF(16354,16372) = 2
LCM(16354,16372) = ( 16354 × 16372) / 2
LCM(16354,16372) = 267747688 / 2
LCM(16354,16372) = 133873844

Least Common Multiple (LCM) of 16354 and 16372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16354 and 16372. First we will calculate the prime factors of 16354 and 16372.

Prime Factorization of 16354

Prime factors of 16354 are 2, 13, 17, 37. Prime factorization of 16354 in exponential form is:

16354 = 21 × 131 × 171 × 371

Prime Factorization of 16372

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

16372 = 22 × 40931

Now multiplying the highest exponent prime factors to calculate the LCM of 16354 and 16372.

LCM(16354,16372) = 22 × 131 × 171 × 371 × 40931
LCM(16354,16372) = 133873844