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What is the Least Common Multiple of 16001 and 16015?

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 16001 and 16015 is 256256015.

LCM(16001,16015) = 256256015

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Least Common Multiple of 16001 and 16015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16001 and 16015, than apply into the LCM equation.

GCF(16001,16015) = 1
LCM(16001,16015) = ( 16001 × 16015) / 1
LCM(16001,16015) = 256256015 / 1
LCM(16001,16015) = 256256015

Least Common Multiple (LCM) of 16001 and 16015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16001 and 16015. First we will calculate the prime factors of 16001 and 16015.

Prime Factorization of 16001

Prime factors of 16001 are 16001. Prime factorization of 16001 in exponential form is:

16001 = 160011

Prime Factorization of 16015

Prime factors of 16015 are 5, 3203. Prime factorization of 16015 in exponential form is:

16015 = 51 × 32031

Now multiplying the highest exponent prime factors to calculate the LCM of 16001 and 16015.

LCM(16001,16015) = 160011 × 51 × 32031
LCM(16001,16015) = 256256015