Least Common Multiple of 7998 and 8002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7998 and 8002 the smallest integer that is 31999998 that is divisible by both numbers.

Least Common Multiple (LCM) of 7998 and 8002 is 31999998.

LCM(7998,8002) = 31999998

LCM of 7998 and 8002

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

LCM of:
and

Least Common Multiple of 7998 and 8002

LCM of 7998 and 8002 is 31999998

Least common multiple can be found by multiplying the highest exponent prime factors of 7998 and 8002. First we will calculate the prime factors of 7998 and 8002.

Prime Factorization of 7998


2 7998
3 3999
31 1333
43 43
1

Prime factors of 7998 are 2, 3, 31,43. Prime factorization of 7998 in exponential form is:

7998 = 21×31×311×431

Prime Factorization of 8002


2 8002
4001 4001
1

Prime factors of 8002 are 2,4001. Prime factorization of 8002 in exponential form is:

8002 = 21×40011

Now multiplying the highest exponent prime factors to calculate the LCM of 7998 and 8002.

LCM(7998,8002) = 21×31×311×431×40011
LCM(7998,8002) = 31999998

Factors of 7998

List of positive integer factors of 7998 that divides 7998 without a remainder.

1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1, 2, 4001, 8002

Least Common Multiple of 7998 and 8002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7998 and 8002, than apply into the LCM equation.

GCF(7998,8002) = 2
LCM(7998,8002) = ( 7998 × 8002) / 2
LCM(7998,8002) = 63999996 / 2
LCM(7998,8002) = 31999998

Properties of LCM 7998 and 8002

(i) The LCM of 8002 and 7998 is associative

LCM of 7998 and 8002 = LCM of 8002 and 7998

Related Least Common Multiples of 7998

Related Least Common Multiples of 8002

Frequently Asked Questions on LCM of 7998 and 8002

1. What is the LCM of 7998 and 8002?

Answer: LCM of 7998 and 8002 is 31999998.

2. What are the Factors of 7998?

Answer: Factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998. There are 16 integers that are factors of 7998. The greatest factor of 7998 is 7998.

3. What are the Factors of 8002?

Answer: Factors of 8002 are 1, 2, 4001, 8002. There are 4 integers that are factors of 8002. The greatest factor of 8002 is 8002.

4. How to Find the LCM of 7998 and 8002?

Answer:

Least Common Multiple of 7998 and 8002 = 31999998

Step 1: Find the prime factorization of 7998

7998 = 2 x 3 x 31 x 43

Step 2: Find the prime factorization of 8002

8002 = 2 x 4001

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

LCM = 31999998 = 2 x 3 x 31 x 43 x 4001

Step 4: Therefore, the least common multiple of 7998 and 8002 is 31999998.