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What is the Least Common Multiple of 28010 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 28010 and 28016 is 392364080.

LCM(28010,28016) = 392364080

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Least Common Multiple of 28010 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 28010 and 28016, than apply into the LCM equation.

GCF(28010,28016) = 2
LCM(28010,28016) = ( 28010 × 28016) / 2
LCM(28010,28016) = 784728160 / 2
LCM(28010,28016) = 392364080

Least Common Multiple (LCM) of 28010 and 28016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28010 and 28016. First we will calculate the prime factors of 28010 and 28016.

Prime Factorization of 28010

Prime factors of 28010 are 2, 5, 2801. Prime factorization of 28010 in exponential form is:

28010 = 21 × 51 × 28011

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 28010 and 28016.

LCM(28010,28016) = 24 × 51 × 28011 × 171 × 1031
LCM(28010,28016) = 392364080