Least Common Multiple of 3997 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 3997 and 4002 the smallest integer that is 15995994 that is divisible by both numbers.

Least Common Multiple (LCM) of 3997 and 4002 is 15995994.

LCM(3997,4002) = 15995994

LCM of 3997 and 4002

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

LCM of:
and

Least Common Multiple of 3997 and 4002

LCM of 3997 and 4002 is 15995994

Least common multiple can be found by multiplying the highest exponent prime factors of 3997 and 4002. First we will calculate the prime factors of 3997 and 4002.

Prime Factorization of 3997


7 3997
571 571
1

Prime factors of 3997 are 7,571. Prime factorization of 3997 in exponential form is:

3997 = 71×5711

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 3997 and 4002.

LCM(3997,4002) = 21×31×71×231×291×5711
LCM(3997,4002) = 15995994

Factors of 3997

List of positive integer factors of 3997 that divides 3997 without a remainder.

1, 7, 571, 3997

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 3997 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 3997 and 4002, than apply into the LCM equation.

GCF(3997,4002) = 1
LCM(3997,4002) = ( 3997 × 4002) / 1
LCM(3997,4002) = 15995994 / 1
LCM(3997,4002) = 15995994

Properties of LCM 3997 and 4002

(i) The LCM of 4002 and 3997 is associative

LCM of 3997 and 4002 = LCM of 4002 and 3997

Related Least Common Multiples of 3997

Related Least Common Multiples of 4002

Frequently Asked Questions on LCM of 3997 and 4002

1. What is the LCM of 3997 and 4002?

Answer: LCM of 3997 and 4002 is 15995994.

2. What are the Factors of 3997?

Answer: Factors of 3997 are 1, 7, 571, 3997. There are 4 integers that are factors of 3997. The greatest factor of 3997 is 3997.

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 3997 and 4002?

Answer:

Least Common Multiple of 3997 and 4002 = 15995994

Step 1: Find the prime factorization of 3997

3997 = 7 x 571

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 = 15995994 = 2 x 3 x 7 x 23 x 29 x 571

Step 4: Therefore, the least common multiple of 3997 and 4002 is 15995994.