Least Common Multiple of 7991 and 7996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7991 and 7996 the smallest integer that is 63896036 that is divisible by both numbers.

Least Common Multiple (LCM) of 7991 and 7996 is 63896036.

LCM(7991,7996) = 63896036

LCM of 7991 and 7996

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

LCM of:
and

Least Common Multiple of 7991 and 7996

LCM of 7991 and 7996 is 63896036

Least common multiple can be found by multiplying the highest exponent prime factors of 7991 and 7996. First we will calculate the prime factors of 7991 and 7996.

Prime Factorization of 7991


61 7991
131 131
1

Prime factors of 7991 are 61,131. Prime factorization of 7991 in exponential form is:

7991 = 611×1311

Prime Factorization of 7996


2 7996
2 3998
1999 1999
1

Prime factors of 7996 are 2,1999. Prime factorization of 7996 in exponential form is:

7996 = 22×19991

Now multiplying the highest exponent prime factors to calculate the LCM of 7991 and 7996.

LCM(7991,7996) = 22×611×1311×19991
LCM(7991,7996) = 63896036

Factors of 7991

List of positive integer factors of 7991 that divides 7991 without a remainder.

1, 61, 131, 7991

Factors of 7996

List of positive integer factors of 7996 that divides 7996 without a remainder.

1, 2, 4, 1999, 3998, 7996

Least Common Multiple of 7991 and 7996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7991 and 7996, than apply into the LCM equation.

GCF(7991,7996) = 1
LCM(7991,7996) = ( 7991 × 7996) / 1
LCM(7991,7996) = 63896036 / 1
LCM(7991,7996) = 63896036

Properties of LCM 7991 and 7996

(i) The LCM of 7996 and 7991 is associative

LCM of 7991 and 7996 = LCM of 7996 and 7991

Related Least Common Multiples of 7991

Related Least Common Multiples of 7996

Frequently Asked Questions on LCM of 7991 and 7996

1. What is the LCM of 7991 and 7996?

Answer: LCM of 7991 and 7996 is 63896036.

2. What are the Factors of 7991?

Answer: Factors of 7991 are 1, 61, 131, 7991. There are 4 integers that are factors of 7991. The greatest factor of 7991 is 7991.

3. What are the Factors of 7996?

Answer: Factors of 7996 are 1, 2, 4, 1999, 3998, 7996. There are 6 integers that are factors of 7996. The greatest factor of 7996 is 7996.

4. How to Find the LCM of 7991 and 7996?

Answer:

Least Common Multiple of 7991 and 7996 = 63896036

Step 1: Find the prime factorization of 7991

7991 = 61 x 131

Step 2: Find the prime factorization of 7996

7996 = 2 x 2 x 1999

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

LCM = 63896036 = 2 x 2 x 61 x 131 x 1999

Step 4: Therefore, the least common multiple of 7991 and 7996 is 63896036.