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What is the Least Common Multiple of 7995 and 8012?

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 7995 and 8012 is 64055940.

LCM(7995,8012) = 64055940

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Least Common Multiple of 7995 and 8012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7995 and 8012, than apply into the LCM equation.

GCF(7995,8012) = 1
LCM(7995,8012) = ( 7995 × 8012) / 1
LCM(7995,8012) = 64055940 / 1
LCM(7995,8012) = 64055940

Least Common Multiple (LCM) of 7995 and 8012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7995 and 8012. First we will calculate the prime factors of 7995 and 8012.

Prime Factorization of 7995

Prime factors of 7995 are 3, 5, 13, 41. Prime factorization of 7995 in exponential form is:

7995 = 31 × 51 × 131 × 411

Prime Factorization of 8012

Prime factors of 8012 are 2, 2003. Prime factorization of 8012 in exponential form is:

8012 = 22 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 7995 and 8012.

LCM(7995,8012) = 31 × 51 × 131 × 411 × 22 × 20031
LCM(7995,8012) = 64055940