Least Common Multiple of 7984 and 7985

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 7985 the smallest integer that is 63752240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7984 and 7985 is 63752240.

LCM(7984,7985) = 63752240

LCM of 7984 and 7985

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

LCM of:
and

Least Common Multiple of 7984 and 7985

LCM of 7984 and 7985 is 63752240

Least common multiple can be found by multiplying the highest exponent prime factors of 7984 and 7985. First we will calculate the prime factors of 7984 and 7985.

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 7985


5 7985
1597 1597
1

Prime factors of 7985 are 5,1597. Prime factorization of 7985 in exponential form is:

7985 = 51×15971

Now multiplying the highest exponent prime factors to calculate the LCM of 7984 and 7985.

LCM(7984,7985) = 24×51×4991×15971
LCM(7984,7985) = 63752240

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 7985

List of positive integer factors of 7985 that divides 7985 without a remainder.

1, 5, 1597, 7985

Least Common Multiple of 7984 and 7985 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 7985, than apply into the LCM equation.

GCF(7984,7985) = 1
LCM(7984,7985) = ( 7984 × 7985) / 1
LCM(7984,7985) = 63752240 / 1
LCM(7984,7985) = 63752240

Properties of LCM 7984 and 7985

(i) The LCM of 7985 and 7984 is associative

LCM of 7984 and 7985 = LCM of 7985 and 7984

Related Least Common Multiples of 7984

Related Least Common Multiples of 7985

Frequently Asked Questions on LCM of 7984 and 7985

1. What is the LCM of 7984 and 7985?

Answer: LCM of 7984 and 7985 is 63752240.

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 7985?

Answer: Factors of 7985 are 1, 5, 1597, 7985. There are 4 integers that are factors of 7985. The greatest factor of 7985 is 7985.

4. How to Find the LCM of 7984 and 7985?

Answer:

Least Common Multiple of 7984 and 7985 = 63752240

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 7985

7985 = 5 x 1597

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

LCM = 63752240 = 2 x 2 x 2 x 2 x 5 x 499 x 1597

Step 4: Therefore, the least common multiple of 7984 and 7985 is 63752240.