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What is the Least Common Multiple of 15987 and 16005?

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 15987 and 16005 is 85290645.

LCM(15987,16005) = 85290645

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Least Common Multiple of 15987 and 16005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15987 and 16005, than apply into the LCM equation.

GCF(15987,16005) = 3
LCM(15987,16005) = ( 15987 × 16005) / 3
LCM(15987,16005) = 255871935 / 3
LCM(15987,16005) = 85290645

Least Common Multiple (LCM) of 15987 and 16005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15987 and 16005. First we will calculate the prime factors of 15987 and 16005.

Prime Factorization of 15987

Prime factors of 15987 are 3, 73. Prime factorization of 15987 in exponential form is:

15987 = 31 × 732

Prime Factorization of 16005

Prime factors of 16005 are 3, 5, 11, 97. Prime factorization of 16005 in exponential form is:

16005 = 31 × 51 × 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 15987 and 16005.

LCM(15987,16005) = 31 × 732 × 51 × 111 × 971
LCM(15987,16005) = 85290645