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What is the Least Common Multiple of 7993 and 7998?

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 7993 and 7998 is 63928014.

LCM(7993,7998) = 63928014

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Least Common Multiple of 7993 and 7998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7993 and 7998, than apply into the LCM equation.

GCF(7993,7998) = 1
LCM(7993,7998) = ( 7993 × 7998) / 1
LCM(7993,7998) = 63928014 / 1
LCM(7993,7998) = 63928014

Least Common Multiple (LCM) of 7993 and 7998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7993 and 7998. First we will calculate the prime factors of 7993 and 7998.

Prime Factorization of 7993

Prime factors of 7993 are 7993. Prime factorization of 7993 in exponential form is:

7993 = 79931

Prime Factorization of 7998

Prime factors of 7998 are 2, 3, 31, 43. Prime factorization of 7998 in exponential form is:

7998 = 21 × 31 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 7993 and 7998.

LCM(7993,7998) = 79931 × 21 × 31 × 311 × 431
LCM(7993,7998) = 63928014