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What is the Least Common Multiple of 10007 and 10016?

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 10007 and 10016 is 100230112.

LCM(10007,10016) = 100230112

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Least Common Multiple of 10007 and 10016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10007 and 10016, than apply into the LCM equation.

GCF(10007,10016) = 1
LCM(10007,10016) = ( 10007 × 10016) / 1
LCM(10007,10016) = 100230112 / 1
LCM(10007,10016) = 100230112

Least Common Multiple (LCM) of 10007 and 10016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10007 and 10016. First we will calculate the prime factors of 10007 and 10016.

Prime Factorization of 10007

Prime factors of 10007 are 10007. Prime factorization of 10007 in exponential form is:

10007 = 100071

Prime Factorization of 10016

Prime factors of 10016 are 2, 313. Prime factorization of 10016 in exponential form is:

10016 = 25 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 10007 and 10016.

LCM(10007,10016) = 100071 × 25 × 3131
LCM(10007,10016) = 100230112