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What is the Least Common Multiple of 8010 and 8015?

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 8010 and 8015 is 12840030.

LCM(8010,8015) = 12840030

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Least Common Multiple of 8010 and 8015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8010 and 8015, than apply into the LCM equation.

GCF(8010,8015) = 5
LCM(8010,8015) = ( 8010 × 8015) / 5
LCM(8010,8015) = 64200150 / 5
LCM(8010,8015) = 12840030

Least Common Multiple (LCM) of 8010 and 8015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8010 and 8015. First we will calculate the prime factors of 8010 and 8015.

Prime Factorization of 8010

Prime factors of 8010 are 2, 3, 5, 89. Prime factorization of 8010 in exponential form is:

8010 = 21 × 32 × 51 × 891

Prime Factorization of 8015

Prime factors of 8015 are 5, 7, 229. Prime factorization of 8015 in exponential form is:

8015 = 51 × 71 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8010 and 8015.

LCM(8010,8015) = 21 × 32 × 51 × 891 × 71 × 2291
LCM(8010,8015) = 12840030