Least Common Multiple of 3994 and 3999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3994 and 3999 the smallest integer that is 15972006 that is divisible by both numbers.

Least Common Multiple (LCM) of 3994 and 3999 is 15972006.

LCM(3994,3999) = 15972006

LCM of 3994 and 3999

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3994 and 3999

LCM of 3994 and 3999 is 15972006

Least common multiple can be found by multiplying the highest exponent prime factors of 3994 and 3999. First we will calculate the prime factors of 3994 and 3999.

Prime Factorization of 3994


2 3994
1997 1997
1

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

3994 = 21×19971

Prime Factorization of 3999


3 3999
31 1333
43 43
1

Prime factors of 3999 are 3, 31,43. Prime factorization of 3999 in exponential form is:

3999 = 31×311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3994 and 3999.

LCM(3994,3999) = 21×31×311×431×19971
LCM(3994,3999) = 15972006

Factors of 3994

List of positive integer factors of 3994 that divides 3994 without a remainder.

1, 2, 1997, 3994

Factors of 3999

List of positive integer factors of 3999 that divides 3999 without a remainder.

1, 3, 31, 43, 93, 129, 1333, 3999

Least Common Multiple of 3994 and 3999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3994 and 3999, than apply into the LCM equation.

GCF(3994,3999) = 1
LCM(3994,3999) = ( 3994 × 3999) / 1
LCM(3994,3999) = 15972006 / 1
LCM(3994,3999) = 15972006

Properties of LCM 3994 and 3999

(i) The LCM of 3999 and 3994 is associative

LCM of 3994 and 3999 = LCM of 3999 and 3994

Related Least Common Multiples of 3994

Related Least Common Multiples of 3999

Frequently Asked Questions on LCM of 3994 and 3999

1. What is the LCM of 3994 and 3999?

Answer: LCM of 3994 and 3999 is 15972006.

2. What are the Factors of 3994?

Answer: Factors of 3994 are 1, 2, 1997, 3994. There are 4 integers that are factors of 3994. The greatest factor of 3994 is 3994.

3. What are the Factors of 3999?

Answer: Factors of 3999 are 1, 3, 31, 43, 93, 129, 1333, 3999. There are 8 integers that are factors of 3999. The greatest factor of 3999 is 3999.

4. How to Find the LCM of 3994 and 3999?

Answer:

Least Common Multiple of 3994 and 3999 = 15972006

Step 1: Find the prime factorization of 3994

3994 = 2 x 1997

Step 2: Find the prime factorization of 3999

3999 = 3 x 31 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 15972006 = 2 x 3 x 31 x 43 x 1997

Step 4: Therefore, the least common multiple of 3994 and 3999 is 15972006.