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What is the Least Common Multiple of 16064 and 16075?

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 16064 and 16075 is 258228800.

LCM(16064,16075) = 258228800

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Least Common Multiple of 16064 and 16075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16064 and 16075, than apply into the LCM equation.

GCF(16064,16075) = 1
LCM(16064,16075) = ( 16064 × 16075) / 1
LCM(16064,16075) = 258228800 / 1
LCM(16064,16075) = 258228800

Least Common Multiple (LCM) of 16064 and 16075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16064 and 16075. First we will calculate the prime factors of 16064 and 16075.

Prime Factorization of 16064

Prime factors of 16064 are 2, 251. Prime factorization of 16064 in exponential form is:

16064 = 26 × 2511

Prime Factorization of 16075

Prime factors of 16075 are 5, 643. Prime factorization of 16075 in exponential form is:

16075 = 52 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 16064 and 16075.

LCM(16064,16075) = 26 × 2511 × 52 × 6431
LCM(16064,16075) = 258228800