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What is the Least Common Multiple of 3995 and 4006?

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 3995 and 4006 is 16003970.

LCM(3995,4006) = 16003970

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Least Common Multiple of 3995 and 4006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3995 and 4006, than apply into the LCM equation.

GCF(3995,4006) = 1
LCM(3995,4006) = ( 3995 × 4006) / 1
LCM(3995,4006) = 16003970 / 1
LCM(3995,4006) = 16003970

Least Common Multiple (LCM) of 3995 and 4006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3995 and 4006. First we will calculate the prime factors of 3995 and 4006.

Prime Factorization of 3995

Prime factors of 3995 are 5, 17, 47. Prime factorization of 3995 in exponential form is:

3995 = 51 × 171 × 471

Prime Factorization of 4006

Prime factors of 4006 are 2, 2003. Prime factorization of 4006 in exponential form is:

4006 = 21 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 3995 and 4006.

LCM(3995,4006) = 51 × 171 × 471 × 21 × 20031
LCM(3995,4006) = 16003970