Least Common Multiple of 7976 and 7984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7976 and 7984 the smallest integer that is 7960048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7976 and 7984 is 7960048.

LCM(7976,7984) = 7960048

LCM of 7976 and 7984

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

LCM of:
and

Least Common Multiple of 7976 and 7984

LCM of 7976 and 7984 is 7960048

Least common multiple can be found by multiplying the highest exponent prime factors of 7976 and 7984. First we will calculate the prime factors of 7976 and 7984.

Prime Factorization of 7976


2 7976
2 3988
2 1994
997 997
1

Prime factors of 7976 are 2,997. Prime factorization of 7976 in exponential form is:

7976 = 23×9971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7976 and 7984.

LCM(7976,7984) = 24×4991×9971
LCM(7976,7984) = 7960048

Factors of 7976

List of positive integer factors of 7976 that divides 7976 without a remainder.

1, 2, 4, 8, 997, 1994, 3988, 7976

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

Least Common Multiple of 7976 and 7984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7976 and 7984, than apply into the LCM equation.

GCF(7976,7984) = 8
LCM(7976,7984) = ( 7976 × 7984) / 8
LCM(7976,7984) = 63680384 / 8
LCM(7976,7984) = 7960048

Properties of LCM 7976 and 7984

(i) The LCM of 7984 and 7976 is associative

LCM of 7976 and 7984 = LCM of 7984 and 7976

Related Least Common Multiples of 7976

Related Least Common Multiples of 7984

Frequently Asked Questions on LCM of 7976 and 7984

1. What is the LCM of 7976 and 7984?

Answer: LCM of 7976 and 7984 is 7960048.

2. What are the Factors of 7976?

Answer: Factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976. There are 8 integers that are factors of 7976. The greatest factor of 7976 is 7976.

3. 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.

4. How to Find the LCM of 7976 and 7984?

Answer:

Least Common Multiple of 7976 and 7984 = 7960048

Step 1: Find the prime factorization of 7976

7976 = 2 x 2 x 2 x 997

Step 2: Find the prime factorization of 7984

7984 = 2 x 2 x 2 x 2 x 499

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

LCM = 7960048 = 2 x 2 x 2 x 2 x 499 x 997

Step 4: Therefore, the least common multiple of 7976 and 7984 is 7960048.