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What is the Least Common Multiple of 7988 and 8003?

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 7988 and 8003 is 63927964.

LCM(7988,8003) = 63927964

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Least Common Multiple of 7988 and 8003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7988 and 8003, than apply into the LCM equation.

GCF(7988,8003) = 1
LCM(7988,8003) = ( 7988 × 8003) / 1
LCM(7988,8003) = 63927964 / 1
LCM(7988,8003) = 63927964

Least Common Multiple (LCM) of 7988 and 8003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7988 and 8003. First we will calculate the prime factors of 7988 and 8003.

Prime Factorization of 7988

Prime factors of 7988 are 2, 1997. Prime factorization of 7988 in exponential form is:

7988 = 22 × 19971

Prime Factorization of 8003

Prime factors of 8003 are 53, 151. Prime factorization of 8003 in exponential form is:

8003 = 531 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7988 and 8003.

LCM(7988,8003) = 22 × 19971 × 531 × 1511
LCM(7988,8003) = 63927964