Least Common Multiple of 7993 and 8001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7993 and 8001 the smallest integer that is 63951993 that is divisible by both numbers.

Least Common Multiple (LCM) of 7993 and 8001 is 63951993.

LCM(7993,8001) = 63951993

LCM of 7993 and 8001

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

LCM of:
and

Least Common Multiple of 7993 and 8001

LCM of 7993 and 8001 is 63951993

Least common multiple can be found by multiplying the highest exponent prime factors of 7993 and 8001. First we will calculate the prime factors of 7993 and 8001.

Prime Factorization of 7993


7993 7993
1

Prime factors of 7993 are 7993. Prime factorization of 7993 in exponential form is:

7993 = 79931

Prime Factorization of 8001


3 8001
3 2667
7 889
127 127
1

Prime factors of 8001 are 3, 7,127. Prime factorization of 8001 in exponential form is:

8001 = 32×71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7993 and 8001.

LCM(7993,8001) = 32×71×1271×79931
LCM(7993,8001) = 63951993

Factors of 7993

List of positive integer factors of 7993 that divides 7993 without a remainder.

1, 7993

Factors of 8001

List of positive integer factors of 8001 that divides 8001 without a remainder.

1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001

Least Common Multiple of 7993 and 8001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7993 and 8001, than apply into the LCM equation.

GCF(7993,8001) = 1
LCM(7993,8001) = ( 7993 × 8001) / 1
LCM(7993,8001) = 63951993 / 1
LCM(7993,8001) = 63951993

Properties of LCM 7993 and 8001

(i) The LCM of 8001 and 7993 is associative

LCM of 7993 and 8001 = LCM of 8001 and 7993

Related Least Common Multiples of 7993

Related Least Common Multiples of 8001

Frequently Asked Questions on LCM of 7993 and 8001

1. What is the LCM of 7993 and 8001?

Answer: LCM of 7993 and 8001 is 63951993.

2. What are the Factors of 7993?

Answer: Factors of 7993 are 1, 7993. There are 2 integers that are factors of 7993. The greatest factor of 7993 is 7993.

3. What are the Factors of 8001?

Answer: Factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001. There are 12 integers that are factors of 8001. The greatest factor of 8001 is 8001.

4. How to Find the LCM of 7993 and 8001?

Answer:

Least Common Multiple of 7993 and 8001 = 63951993

Step 1: Find the prime factorization of 7993

7993 = 7993

Step 2: Find the prime factorization of 8001

8001 = 3 x 3 x 7 x 127

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

LCM = 63951993 = 3 x 3 x 7 x 127 x 7993

Step 4: Therefore, the least common multiple of 7993 and 8001 is 63951993.