Least Common Multiple of 5945 and 5950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5945 and 5950 the smallest integer that is 7074550 that is divisible by both numbers.

Least Common Multiple (LCM) of 5945 and 5950 is 7074550.

LCM(5945,5950) = 7074550

LCM of 5945 and 5950

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

LCM of:
and

Least Common Multiple of 5945 and 5950

LCM of 5945 and 5950 is 7074550

Least common multiple can be found by multiplying the highest exponent prime factors of 5945 and 5950. First we will calculate the prime factors of 5945 and 5950.

Prime Factorization of 5945


5 5945
29 1189
41 41
1

Prime factors of 5945 are 5, 29,41. Prime factorization of 5945 in exponential form is:

5945 = 51×291×411

Prime Factorization of 5950


2 5950
5 2975
5 595
7 119
17 17
1

Prime factors of 5950 are 2, 5, 7,17. Prime factorization of 5950 in exponential form is:

5950 = 21×52×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5945 and 5950.

LCM(5945,5950) = 21×52×71×171×291×411
LCM(5945,5950) = 7074550

Factors of 5945

List of positive integer factors of 5945 that divides 5945 without a remainder.

1, 5, 29, 41, 145, 205, 1189, 5945

Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950

Least Common Multiple of 5945 and 5950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5945 and 5950, than apply into the LCM equation.

GCF(5945,5950) = 5
LCM(5945,5950) = ( 5945 × 5950) / 5
LCM(5945,5950) = 35372750 / 5
LCM(5945,5950) = 7074550

Properties of LCM 5945 and 5950

(i) The LCM of 5950 and 5945 is associative

LCM of 5945 and 5950 = LCM of 5950 and 5945

Related Least Common Multiples of 5945

Related Least Common Multiples of 5950

Frequently Asked Questions on LCM of 5945 and 5950

1. What is the LCM of 5945 and 5950?

Answer: LCM of 5945 and 5950 is 7074550.

2. What are the Factors of 5945?

Answer: Factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945. There are 8 integers that are factors of 5945. The greatest factor of 5945 is 5945.

3. What are the Factors of 5950?

Answer: Factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950. There are 24 integers that are factors of 5950. The greatest factor of 5950 is 5950.

4. How to Find the LCM of 5945 and 5950?

Answer:

Least Common Multiple of 5945 and 5950 = 7074550

Step 1: Find the prime factorization of 5945

5945 = 5 x 29 x 41

Step 2: Find the prime factorization of 5950

5950 = 2 x 5 x 5 x 7 x 17

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

LCM = 7074550 = 2 x 5 x 5 x 7 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 5945 and 5950 is 7074550.