Least Common Multiple of 7997 and 8005

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 8005 the smallest integer that is 64015985 that is divisible by both numbers.

Least Common Multiple (LCM) of 7997 and 8005 is 64015985.

LCM(7997,8005) = 64015985

LCM of 7997 and 8005

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

LCM of:
and

Least Common Multiple of 7997 and 8005

LCM of 7997 and 8005 is 64015985

Least common multiple can be found by multiplying the highest exponent prime factors of 7997 and 8005. First we will calculate the prime factors of 7997 and 8005.

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 8005


5 8005
1601 1601
1

Prime factors of 8005 are 5,1601. Prime factorization of 8005 in exponential form is:

8005 = 51×16011

Now multiplying the highest exponent prime factors to calculate the LCM of 7997 and 8005.

LCM(7997,8005) = 51×111×7271×16011
LCM(7997,8005) = 64015985

Factors of 7997

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

1, 11, 727, 7997

Factors of 8005

List of positive integer factors of 8005 that divides 8005 without a remainder.

1, 5, 1601, 8005

Least Common Multiple of 7997 and 8005 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 8005, than apply into the LCM equation.

GCF(7997,8005) = 1
LCM(7997,8005) = ( 7997 × 8005) / 1
LCM(7997,8005) = 64015985 / 1
LCM(7997,8005) = 64015985

Properties of LCM 7997 and 8005

(i) The LCM of 8005 and 7997 is associative

LCM of 7997 and 8005 = LCM of 8005 and 7997

Related Least Common Multiples of 7997

Related Least Common Multiples of 8005

Frequently Asked Questions on LCM of 7997 and 8005

1. What is the LCM of 7997 and 8005?

Answer: LCM of 7997 and 8005 is 64015985.

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 8005?

Answer: Factors of 8005 are 1, 5, 1601, 8005. There are 4 integers that are factors of 8005. The greatest factor of 8005 is 8005.

4. How to Find the LCM of 7997 and 8005?

Answer:

Least Common Multiple of 7997 and 8005 = 64015985

Step 1: Find the prime factorization of 7997

7997 = 11 x 727

Step 2: Find the prime factorization of 8005

8005 = 5 x 1601

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

LCM = 64015985 = 5 x 11 x 727 x 1601

Step 4: Therefore, the least common multiple of 7997 and 8005 is 64015985.