Least Common Multiple of 3998 and 4006

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 4006 the smallest integer that is 8007994 that is divisible by both numbers.

Least Common Multiple (LCM) of 3998 and 4006 is 8007994.

LCM(3998,4006) = 8007994

LCM of 3998 and 4006

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

LCM of:
and

Least Common Multiple of 3998 and 4006

LCM of 3998 and 4006 is 8007994

Least common multiple can be found by multiplying the highest exponent prime factors of 3998 and 4006. First we will calculate the prime factors of 3998 and 4006.

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 4006


2 4006
2003 2003
1

Prime factors of 4006 are 2,2003. Prime factorization of 4006 in exponential form is:

4006 = 21×20031

Now multiplying the highest exponent prime factors to calculate the LCM of 3998 and 4006.

LCM(3998,4006) = 21×19991×20031
LCM(3998,4006) = 8007994

Factors of 3998

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

1, 2, 1999, 3998

Factors of 4006

List of positive integer factors of 4006 that divides 4006 without a remainder.

1, 2, 2003, 4006

Least Common Multiple of 3998 and 4006 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 4006, than apply into the LCM equation.

GCF(3998,4006) = 2
LCM(3998,4006) = ( 3998 × 4006) / 2
LCM(3998,4006) = 16015988 / 2
LCM(3998,4006) = 8007994

Properties of LCM 3998 and 4006

(i) The LCM of 4006 and 3998 is associative

LCM of 3998 and 4006 = LCM of 4006 and 3998

Related Least Common Multiples of 3998

Related Least Common Multiples of 4006

Frequently Asked Questions on LCM of 3998 and 4006

1. What is the LCM of 3998 and 4006?

Answer: LCM of 3998 and 4006 is 8007994.

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 4006?

Answer: Factors of 4006 are 1, 2, 2003, 4006. There are 4 integers that are factors of 4006. The greatest factor of 4006 is 4006.

4. How to Find the LCM of 3998 and 4006?

Answer:

Least Common Multiple of 3998 and 4006 = 8007994

Step 1: Find the prime factorization of 3998

3998 = 2 x 1999

Step 2: Find the prime factorization of 4006

4006 = 2 x 2003

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

LCM = 8007994 = 2 x 1999 x 2003

Step 4: Therefore, the least common multiple of 3998 and 4006 is 8007994.