Least Common Multiple of 3998 and 4005

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 4005 the smallest integer that is 16011990 that is divisible by both numbers.

Least Common Multiple (LCM) of 3998 and 4005 is 16011990.

LCM(3998,4005) = 16011990

LCM of 3998 and 4005

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

LCM of:
and

Least Common Multiple of 3998 and 4005

LCM of 3998 and 4005 is 16011990

Least common multiple can be found by multiplying the highest exponent prime factors of 3998 and 4005. First we will calculate the prime factors of 3998 and 4005.

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 4005


3 4005
3 1335
5 445
89 89
1

Prime factors of 4005 are 3, 5,89. Prime factorization of 4005 in exponential form is:

4005 = 32×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3998 and 4005.

LCM(3998,4005) = 21×32×51×891×19991
LCM(3998,4005) = 16011990

Factors of 3998

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

1, 2, 1999, 3998

Factors of 4005

List of positive integer factors of 4005 that divides 4005 without a remainder.

1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005

Least Common Multiple of 3998 and 4005 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 4005, than apply into the LCM equation.

GCF(3998,4005) = 1
LCM(3998,4005) = ( 3998 × 4005) / 1
LCM(3998,4005) = 16011990 / 1
LCM(3998,4005) = 16011990

Properties of LCM 3998 and 4005

(i) The LCM of 4005 and 3998 is associative

LCM of 3998 and 4005 = LCM of 4005 and 3998

Related Least Common Multiples of 3998

Related Least Common Multiples of 4005

Frequently Asked Questions on LCM of 3998 and 4005

1. What is the LCM of 3998 and 4005?

Answer: LCM of 3998 and 4005 is 16011990.

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 4005?

Answer: Factors of 4005 are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005. There are 12 integers that are factors of 4005. The greatest factor of 4005 is 4005.

4. How to Find the LCM of 3998 and 4005?

Answer:

Least Common Multiple of 3998 and 4005 = 16011990

Step 1: Find the prime factorization of 3998

3998 = 2 x 1999

Step 2: Find the prime factorization of 4005

4005 = 3 x 3 x 5 x 89

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

LCM = 16011990 = 2 x 3 x 3 x 5 x 89 x 1999

Step 4: Therefore, the least common multiple of 3998 and 4005 is 16011990.