Least Common Multiple of 7984 and 7991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7984 and 7991 the smallest integer that is 63800144 that is divisible by both numbers.

Least Common Multiple (LCM) of 7984 and 7991 is 63800144.

LCM(7984,7991) = 63800144

LCM of 7984 and 7991

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

LCM of:
and

Least Common Multiple of 7984 and 7991

LCM of 7984 and 7991 is 63800144

Least common multiple can be found by multiplying the highest exponent prime factors of 7984 and 7991. First we will calculate the prime factors of 7984 and 7991.

Prime Factorization of 7984


2 7984
2 3992
2 1996
2 998
499 499
1

Prime factors of 7984 are 2,499. Prime factorization of 7984 in exponential form is:

7984 = 24×4991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7984 and 7991.

LCM(7984,7991) = 24×611×1311×4991
LCM(7984,7991) = 63800144

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984

Factors of 7991

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

1, 61, 131, 7991

Least Common Multiple of 7984 and 7991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7984 and 7991, than apply into the LCM equation.

GCF(7984,7991) = 1
LCM(7984,7991) = ( 7984 × 7991) / 1
LCM(7984,7991) = 63800144 / 1
LCM(7984,7991) = 63800144

Properties of LCM 7984 and 7991

(i) The LCM of 7991 and 7984 is associative

LCM of 7984 and 7991 = LCM of 7991 and 7984

Related Least Common Multiples of 7984

Related Least Common Multiples of 7991

Frequently Asked Questions on LCM of 7984 and 7991

1. What is the LCM of 7984 and 7991?

Answer: LCM of 7984 and 7991 is 63800144.

2. What are the Factors of 7984?

Answer: Factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. There are 10 integers that are factors of 7984. The greatest factor of 7984 is 7984.

3. 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.

4. How to Find the LCM of 7984 and 7991?

Answer:

Least Common Multiple of 7984 and 7991 = 63800144

Step 1: Find the prime factorization of 7984

7984 = 2 x 2 x 2 x 2 x 499

Step 2: Find the prime factorization of 7991

7991 = 61 x 131

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

LCM = 63800144 = 2 x 2 x 2 x 2 x 61 x 131 x 499

Step 4: Therefore, the least common multiple of 7984 and 7991 is 63800144.