Least Common Multiple of 7978 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 7978 and 7984 the smallest integer that is 31848176 that is divisible by both numbers.

Least Common Multiple (LCM) of 7978 and 7984 is 31848176.

LCM(7978,7984) = 31848176

LCM of 7978 and 7984

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

LCM of:
and

Least Common Multiple of 7978 and 7984

LCM of 7978 and 7984 is 31848176

Least common multiple can be found by multiplying the highest exponent prime factors of 7978 and 7984. First we will calculate the prime factors of 7978 and 7984.

Prime Factorization of 7978


2 7978
3989 3989
1

Prime factors of 7978 are 2,3989. Prime factorization of 7978 in exponential form is:

7978 = 21×39891

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 7978 and 7984.

LCM(7978,7984) = 24×4991×39891
LCM(7978,7984) = 31848176

Factors of 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1, 2, 3989, 7978

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 7978 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 7978 and 7984, than apply into the LCM equation.

GCF(7978,7984) = 2
LCM(7978,7984) = ( 7978 × 7984) / 2
LCM(7978,7984) = 63696352 / 2
LCM(7978,7984) = 31848176

Properties of LCM 7978 and 7984

(i) The LCM of 7984 and 7978 is associative

LCM of 7978 and 7984 = LCM of 7984 and 7978

Related Least Common Multiples of 7978

Related Least Common Multiples of 7984

Frequently Asked Questions on LCM of 7978 and 7984

1. What is the LCM of 7978 and 7984?

Answer: LCM of 7978 and 7984 is 31848176.

2. What are the Factors of 7978?

Answer: Factors of 7978 are 1, 2, 3989, 7978. There are 4 integers that are factors of 7978. The greatest factor of 7978 is 7978.

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 7978 and 7984?

Answer:

Least Common Multiple of 7978 and 7984 = 31848176

Step 1: Find the prime factorization of 7978

7978 = 2 x 3989

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 = 31848176 = 2 x 2 x 2 x 2 x 499 x 3989

Step 4: Therefore, the least common multiple of 7978 and 7984 is 31848176.