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What is the Least Common Multiple of 7997 and 8004?

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 7997 and 8004 is 64007988.

LCM(7997,8004) = 64007988

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Least Common Multiple of 7997 and 8004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7997 and 8004, than apply into the LCM equation.

GCF(7997,8004) = 1
LCM(7997,8004) = ( 7997 × 8004) / 1
LCM(7997,8004) = 64007988 / 1
LCM(7997,8004) = 64007988

Least Common Multiple (LCM) of 7997 and 8004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7997 and 8004. First we will calculate the prime factors of 7997 and 8004.

Prime Factorization of 7997

Prime factors of 7997 are 11, 727. Prime factorization of 7997 in exponential form is:

7997 = 111 × 7271

Prime Factorization of 8004

Prime factors of 8004 are 2, 3, 23, 29. Prime factorization of 8004 in exponential form is:

8004 = 22 × 31 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 7997 and 8004.

LCM(7997,8004) = 111 × 7271 × 22 × 31 × 231 × 291
LCM(7997,8004) = 64007988