Least Common Multiple of 7997 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 7997 and 8001 the smallest integer that is 63983997 that is divisible by both numbers.

Least Common Multiple (LCM) of 7997 and 8001 is 63983997.

LCM(7997,8001) = 63983997

LCM of 7997 and 8001

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

LCM of:
and

Least Common Multiple of 7997 and 8001

LCM of 7997 and 8001 is 63983997

Least common multiple can be found by multiplying the highest exponent prime factors of 7997 and 8001. First we will calculate the prime factors of 7997 and 8001.

Prime Factorization of 7997


11 7997
727 727
1

Prime factors of 7997 are 11,727. Prime factorization of 7997 in exponential form is:

7997 = 111×7271

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 7997 and 8001.

LCM(7997,8001) = 32×71×111×1271×7271
LCM(7997,8001) = 63983997

Factors of 7997

List of positive integer factors of 7997 that divides 7997 without a remainder.

1, 11, 727, 7997

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 7997 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 7997 and 8001, than apply into the LCM equation.

GCF(7997,8001) = 1
LCM(7997,8001) = ( 7997 × 8001) / 1
LCM(7997,8001) = 63983997 / 1
LCM(7997,8001) = 63983997

Properties of LCM 7997 and 8001

(i) The LCM of 8001 and 7997 is associative

LCM of 7997 and 8001 = LCM of 8001 and 7997

Related Least Common Multiples of 7997

Related Least Common Multiples of 8001

Frequently Asked Questions on LCM of 7997 and 8001

1. What is the LCM of 7997 and 8001?

Answer: LCM of 7997 and 8001 is 63983997.

2. What are the Factors of 7997?

Answer: Factors of 7997 are 1, 11, 727, 7997. There are 4 integers that are factors of 7997. The greatest factor of 7997 is 7997.

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 7997 and 8001?

Answer:

Least Common Multiple of 7997 and 8001 = 63983997

Step 1: Find the prime factorization of 7997

7997 = 11 x 727

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 = 63983997 = 3 x 3 x 7 x 11 x 127 x 727

Step 4: Therefore, the least common multiple of 7997 and 8001 is 63983997.