Least Common Multiple of 3998 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 3998 and 4002 the smallest integer that is 7999998 that is divisible by both numbers.

Least Common Multiple (LCM) of 3998 and 4002 is 7999998.

LCM(3998,4002) = 7999998

LCM of 3998 and 4002

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

LCM of:
and

Least Common Multiple of 3998 and 4002

LCM of 3998 and 4002 is 7999998

Least common multiple can be found by multiplying the highest exponent prime factors of 3998 and 4002. First we will calculate the prime factors of 3998 and 4002.

Prime Factorization of 3998


2 3998
1999 1999
1

Prime factors of 3998 are 2,1999. Prime factorization of 3998 in exponential form is:

3998 = 21×19991

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 3998 and 4002.

LCM(3998,4002) = 21×31×231×291×19991
LCM(3998,4002) = 7999998

Factors of 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1, 2, 1999, 3998

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 3998 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 3998 and 4002, than apply into the LCM equation.

GCF(3998,4002) = 2
LCM(3998,4002) = ( 3998 × 4002) / 2
LCM(3998,4002) = 15999996 / 2
LCM(3998,4002) = 7999998

Properties of LCM 3998 and 4002

(i) The LCM of 4002 and 3998 is associative

LCM of 3998 and 4002 = LCM of 4002 and 3998

Related Least Common Multiples of 3998

Related Least Common Multiples of 4002

Frequently Asked Questions on LCM of 3998 and 4002

1. What is the LCM of 3998 and 4002?

Answer: LCM of 3998 and 4002 is 7999998.

2. What are the Factors of 3998?

Answer: Factors of 3998 are 1, 2, 1999, 3998. There are 4 integers that are factors of 3998. The greatest factor of 3998 is 3998.

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 3998 and 4002?

Answer:

Least Common Multiple of 3998 and 4002 = 7999998

Step 1: Find the prime factorization of 3998

3998 = 2 x 1999

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 = 7999998 = 2 x 3 x 23 x 29 x 1999

Step 4: Therefore, the least common multiple of 3998 and 4002 is 7999998.