Least Common Multiple of 7945 and 7950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7945 and 7950 the smallest integer that is 12632550 that is divisible by both numbers.

Least Common Multiple (LCM) of 7945 and 7950 is 12632550.

LCM(7945,7950) = 12632550

LCM of 7945 and 7950

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

LCM of:
and

Least Common Multiple of 7945 and 7950

LCM of 7945 and 7950 is 12632550

Least common multiple can be found by multiplying the highest exponent prime factors of 7945 and 7950. First we will calculate the prime factors of 7945 and 7950.

Prime Factorization of 7945


5 7945
7 1589
227 227
1

Prime factors of 7945 are 5, 7,227. Prime factorization of 7945 in exponential form is:

7945 = 51×71×2271

Prime Factorization of 7950


2 7950
3 3975
5 1325
5 265
53 53
1

Prime factors of 7950 are 2, 3, 5,53. Prime factorization of 7950 in exponential form is:

7950 = 21×31×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7945 and 7950.

LCM(7945,7950) = 21×31×52×71×531×2271
LCM(7945,7950) = 12632550

Factors of 7945

List of positive integer factors of 7945 that divides 7945 without a remainder.

1, 5, 7, 35, 227, 1135, 1589, 7945

Factors of 7950

List of positive integer factors of 7950 that divides 7950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950

Least Common Multiple of 7945 and 7950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7945 and 7950, than apply into the LCM equation.

GCF(7945,7950) = 5
LCM(7945,7950) = ( 7945 × 7950) / 5
LCM(7945,7950) = 63162750 / 5
LCM(7945,7950) = 12632550

Properties of LCM 7945 and 7950

(i) The LCM of 7950 and 7945 is associative

LCM of 7945 and 7950 = LCM of 7950 and 7945

Related Least Common Multiples of 7945

Related Least Common Multiples of 7950

Frequently Asked Questions on LCM of 7945 and 7950

1. What is the LCM of 7945 and 7950?

Answer: LCM of 7945 and 7950 is 12632550.

2. What are the Factors of 7945?

Answer: Factors of 7945 are 1, 5, 7, 35, 227, 1135, 1589, 7945. There are 8 integers that are factors of 7945. The greatest factor of 7945 is 7945.

3. What are the Factors of 7950?

Answer: Factors of 7950 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950. There are 24 integers that are factors of 7950. The greatest factor of 7950 is 7950.

4. How to Find the LCM of 7945 and 7950?

Answer:

Least Common Multiple of 7945 and 7950 = 12632550

Step 1: Find the prime factorization of 7945

7945 = 5 x 7 x 227

Step 2: Find the prime factorization of 7950

7950 = 2 x 3 x 5 x 5 x 53

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

LCM = 12632550 = 2 x 3 x 5 x 5 x 7 x 53 x 227

Step 4: Therefore, the least common multiple of 7945 and 7950 is 12632550.