Least Common Multiple of 3994 and 4002

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 4002 the smallest integer that is 7991994 that is divisible by both numbers.

Least Common Multiple (LCM) of 3994 and 4002 is 7991994.

LCM(3994,4002) = 7991994

LCM of 3994 and 4002

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

LCM of:
and

Least Common Multiple of 3994 and 4002

LCM of 3994 and 4002 is 7991994

Least common multiple can be found by multiplying the highest exponent prime factors of 3994 and 4002. First we will calculate the prime factors of 3994 and 4002.

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 4002


2 4002
3 2001
23 667
29 29
1

Prime factors of 4002 are 2, 3, 23,29. Prime factorization of 4002 in exponential form is:

4002 = 21×31×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3994 and 4002.

LCM(3994,4002) = 21×31×231×291×19971
LCM(3994,4002) = 7991994

Factors of 3994

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

1, 2, 1997, 3994

Factors of 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002

Least Common Multiple of 3994 and 4002 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 4002, than apply into the LCM equation.

GCF(3994,4002) = 2
LCM(3994,4002) = ( 3994 × 4002) / 2
LCM(3994,4002) = 15983988 / 2
LCM(3994,4002) = 7991994

Properties of LCM 3994 and 4002

(i) The LCM of 4002 and 3994 is associative

LCM of 3994 and 4002 = LCM of 4002 and 3994

Related Least Common Multiples of 3994

Related Least Common Multiples of 4002

Frequently Asked Questions on LCM of 3994 and 4002

1. What is the LCM of 3994 and 4002?

Answer: LCM of 3994 and 4002 is 7991994.

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 4002?

Answer: Factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002. There are 16 integers that are factors of 4002. The greatest factor of 4002 is 4002.

4. How to Find the LCM of 3994 and 4002?

Answer:

Least Common Multiple of 3994 and 4002 = 7991994

Step 1: Find the prime factorization of 3994

3994 = 2 x 1997

Step 2: Find the prime factorization of 4002

4002 = 2 x 3 x 23 x 29

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

LCM = 7991994 = 2 x 3 x 23 x 29 x 1997

Step 4: Therefore, the least common multiple of 3994 and 4002 is 7991994.