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What is the Least Common Multiple of 3988 and 3994?

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 3988 and 3994 is 7964036.

LCM(3988,3994) = 7964036

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Least Common Multiple of 3988 and 3994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3988 and 3994, than apply into the LCM equation.

GCF(3988,3994) = 2
LCM(3988,3994) = ( 3988 × 3994) / 2
LCM(3988,3994) = 15928072 / 2
LCM(3988,3994) = 7964036

Least Common Multiple (LCM) of 3988 and 3994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3988 and 3994. First we will calculate the prime factors of 3988 and 3994.

Prime Factorization of 3988

Prime factors of 3988 are 2, 997. Prime factorization of 3988 in exponential form is:

3988 = 22 × 9971

Prime Factorization of 3994

Prime factors of 3994 are 2, 1997. Prime factorization of 3994 in exponential form is:

3994 = 21 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 3988 and 3994.

LCM(3988,3994) = 22 × 9971 × 19971
LCM(3988,3994) = 7964036