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What is the Least Common Multiple of 28002 and 28016?

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 28002 and 28016 is 392252016.

LCM(28002,28016) = 392252016

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Least Common Multiple of 28002 and 28016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28002 and 28016, than apply into the LCM equation.

GCF(28002,28016) = 2
LCM(28002,28016) = ( 28002 × 28016) / 2
LCM(28002,28016) = 784504032 / 2
LCM(28002,28016) = 392252016

Least Common Multiple (LCM) of 28002 and 28016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28002 and 28016. First we will calculate the prime factors of 28002 and 28016.

Prime Factorization of 28002

Prime factors of 28002 are 2, 3, 13, 359. Prime factorization of 28002 in exponential form is:

28002 = 21 × 31 × 131 × 3591

Prime Factorization of 28016

Prime factors of 28016 are 2, 17, 103. Prime factorization of 28016 in exponential form is:

28016 = 24 × 171 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 28002 and 28016.

LCM(28002,28016) = 24 × 31 × 131 × 3591 × 171 × 1031
LCM(28002,28016) = 392252016