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What is the Least Common Multiple of 16064 and 16080?

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 16080 is 16144320.

LCM(16064,16080) = 16144320

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Least Common Multiple of 16064 and 16080 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 16080, than apply into the LCM equation.

GCF(16064,16080) = 16
LCM(16064,16080) = ( 16064 × 16080) / 16
LCM(16064,16080) = 258309120 / 16
LCM(16064,16080) = 16144320

Least Common Multiple (LCM) of 16064 and 16080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16064 and 16080. First we will calculate the prime factors of 16064 and 16080.

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 16080

Prime factors of 16080 are 2, 3, 5, 67. Prime factorization of 16080 in exponential form is:

16080 = 24 × 31 × 51 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 16064 and 16080.

LCM(16064,16080) = 26 × 2511 × 31 × 51 × 671
LCM(16064,16080) = 16144320