Least Common Multiple of 7975 and 7982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7975 and 7982 the smallest integer that is 63656450 that is divisible by both numbers.

Least Common Multiple (LCM) of 7975 and 7982 is 63656450.

LCM(7975,7982) = 63656450

LCM of 7975 and 7982

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

LCM of:
and

Least Common Multiple of 7975 and 7982

LCM of 7975 and 7982 is 63656450

Least common multiple can be found by multiplying the highest exponent prime factors of 7975 and 7982. First we will calculate the prime factors of 7975 and 7982.

Prime Factorization of 7975


5 7975
5 1595
11 319
29 29
1

Prime factors of 7975 are 5, 11,29. Prime factorization of 7975 in exponential form is:

7975 = 52×111×291

Prime Factorization of 7982


2 7982
13 3991
307 307
1

Prime factors of 7982 are 2, 13,307. Prime factorization of 7982 in exponential form is:

7982 = 21×131×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 7975 and 7982.

LCM(7975,7982) = 21×52×111×131×291×3071
LCM(7975,7982) = 63656450

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975

Factors of 7982

List of positive integer factors of 7982 that divides 7982 without a remainder.

1, 2, 13, 26, 307, 614, 3991, 7982

Least Common Multiple of 7975 and 7982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7975 and 7982, than apply into the LCM equation.

GCF(7975,7982) = 1
LCM(7975,7982) = ( 7975 × 7982) / 1
LCM(7975,7982) = 63656450 / 1
LCM(7975,7982) = 63656450

Properties of LCM 7975 and 7982

(i) The LCM of 7982 and 7975 is associative

LCM of 7975 and 7982 = LCM of 7982 and 7975

Related Least Common Multiples of 7975

Related Least Common Multiples of 7982

Frequently Asked Questions on LCM of 7975 and 7982

1. What is the LCM of 7975 and 7982?

Answer: LCM of 7975 and 7982 is 63656450.

2. What are the Factors of 7975?

Answer: Factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975. There are 12 integers that are factors of 7975. The greatest factor of 7975 is 7975.

3. What are the Factors of 7982?

Answer: Factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982. There are 8 integers that are factors of 7982. The greatest factor of 7982 is 7982.

4. How to Find the LCM of 7975 and 7982?

Answer:

Least Common Multiple of 7975 and 7982 = 63656450

Step 1: Find the prime factorization of 7975

7975 = 5 x 5 x 11 x 29

Step 2: Find the prime factorization of 7982

7982 = 2 x 13 x 307

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

LCM = 63656450 = 2 x 5 x 5 x 11 x 13 x 29 x 307

Step 4: Therefore, the least common multiple of 7975 and 7982 is 63656450.