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What is the Least Common Multiple of 3989 and 4008?

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 3989 and 4008 is 15987912.

LCM(3989,4008) = 15987912

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Least Common Multiple of 3989 and 4008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3989 and 4008, than apply into the LCM equation.

GCF(3989,4008) = 1
LCM(3989,4008) = ( 3989 × 4008) / 1
LCM(3989,4008) = 15987912 / 1
LCM(3989,4008) = 15987912

Least Common Multiple (LCM) of 3989 and 4008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3989 and 4008. First we will calculate the prime factors of 3989 and 4008.

Prime Factorization of 3989

Prime factors of 3989 are 3989. Prime factorization of 3989 in exponential form is:

3989 = 39891

Prime Factorization of 4008

Prime factors of 4008 are 2, 3, 167. Prime factorization of 4008 in exponential form is:

4008 = 23 × 31 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 3989 and 4008.

LCM(3989,4008) = 39891 × 23 × 31 × 1671
LCM(3989,4008) = 15987912