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What is the Least Common Multiple of 16002 and 16017?

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 16002 and 16017 is 85434678.

LCM(16002,16017) = 85434678

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Least Common Multiple of 16002 and 16017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16002 and 16017, than apply into the LCM equation.

GCF(16002,16017) = 3
LCM(16002,16017) = ( 16002 × 16017) / 3
LCM(16002,16017) = 256304034 / 3
LCM(16002,16017) = 85434678

Least Common Multiple (LCM) of 16002 and 16017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16002 and 16017. First we will calculate the prime factors of 16002 and 16017.

Prime Factorization of 16002

Prime factors of 16002 are 2, 3, 7, 127. Prime factorization of 16002 in exponential form is:

16002 = 21 × 32 × 71 × 1271

Prime Factorization of 16017

Prime factors of 16017 are 3, 19, 281. Prime factorization of 16017 in exponential form is:

16017 = 31 × 191 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 16002 and 16017.

LCM(16002,16017) = 21 × 32 × 71 × 1271 × 191 × 2811
LCM(16002,16017) = 85434678