Least Common Multiple of 7984 and 7988

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 7988 the smallest integer that is 15944048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7984 and 7988 is 15944048.

LCM(7984,7988) = 15944048

LCM of 7984 and 7988

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

LCM of:
and

Least Common Multiple of 7984 and 7988

LCM of 7984 and 7988 is 15944048

Least common multiple can be found by multiplying the highest exponent prime factors of 7984 and 7988. First we will calculate the prime factors of 7984 and 7988.

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 7988


2 7988
2 3994
1997 1997
1

Prime factors of 7988 are 2,1997. Prime factorization of 7988 in exponential form is:

7988 = 22×19971

Now multiplying the highest exponent prime factors to calculate the LCM of 7984 and 7988.

LCM(7984,7988) = 24×4991×19971
LCM(7984,7988) = 15944048

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 7988

List of positive integer factors of 7988 that divides 7988 without a remainder.

1, 2, 4, 1997, 3994, 7988

Least Common Multiple of 7984 and 7988 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 7988, than apply into the LCM equation.

GCF(7984,7988) = 4
LCM(7984,7988) = ( 7984 × 7988) / 4
LCM(7984,7988) = 63776192 / 4
LCM(7984,7988) = 15944048

Properties of LCM 7984 and 7988

(i) The LCM of 7988 and 7984 is associative

LCM of 7984 and 7988 = LCM of 7988 and 7984

Related Least Common Multiples of 7984

Related Least Common Multiples of 7988

Frequently Asked Questions on LCM of 7984 and 7988

1. What is the LCM of 7984 and 7988?

Answer: LCM of 7984 and 7988 is 15944048.

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 7988?

Answer: Factors of 7988 are 1, 2, 4, 1997, 3994, 7988. There are 6 integers that are factors of 7988. The greatest factor of 7988 is 7988.

4. How to Find the LCM of 7984 and 7988?

Answer:

Least Common Multiple of 7984 and 7988 = 15944048

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 7988

7988 = 2 x 2 x 1997

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

LCM = 15944048 = 2 x 2 x 2 x 2 x 499 x 1997

Step 4: Therefore, the least common multiple of 7984 and 7988 is 15944048.