Least Common Multiple of 5936 and 5943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5936 and 5943 the smallest integer that is 5039664 that is divisible by both numbers.

Least Common Multiple (LCM) of 5936 and 5943 is 5039664.

LCM(5936,5943) = 5039664

LCM of 5936 and 5943

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

LCM of:
and

Least Common Multiple of 5936 and 5943

LCM of 5936 and 5943 is 5039664

Least common multiple can be found by multiplying the highest exponent prime factors of 5936 and 5943. First we will calculate the prime factors of 5936 and 5943.

Prime Factorization of 5936


2 5936
2 2968
2 1484
2 742
7 371
53 53
1

Prime factors of 5936 are 2, 7,53. Prime factorization of 5936 in exponential form is:

5936 = 24×71×531

Prime Factorization of 5943


3 5943
7 1981
283 283
1

Prime factors of 5943 are 3, 7,283. Prime factorization of 5943 in exponential form is:

5943 = 31×71×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 5936 and 5943.

LCM(5936,5943) = 24×31×71×531×2831
LCM(5936,5943) = 5039664

Factors of 5936

List of positive integer factors of 5936 that divides 5936 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936

Factors of 5943

List of positive integer factors of 5943 that divides 5943 without a remainder.

1, 3, 7, 21, 283, 849, 1981, 5943

Least Common Multiple of 5936 and 5943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5936 and 5943, than apply into the LCM equation.

GCF(5936,5943) = 7
LCM(5936,5943) = ( 5936 × 5943) / 7
LCM(5936,5943) = 35277648 / 7
LCM(5936,5943) = 5039664

Properties of LCM 5936 and 5943

(i) The LCM of 5943 and 5936 is associative

LCM of 5936 and 5943 = LCM of 5943 and 5936

Related Least Common Multiples of 5936

Related Least Common Multiples of 5943

Frequently Asked Questions on LCM of 5936 and 5943

1. What is the LCM of 5936 and 5943?

Answer: LCM of 5936 and 5943 is 5039664.

2. What are the Factors of 5936?

Answer: Factors of 5936 are 1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936. There are 20 integers that are factors of 5936. The greatest factor of 5936 is 5936.

3. What are the Factors of 5943?

Answer: Factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943. There are 8 integers that are factors of 5943. The greatest factor of 5943 is 5943.

4. How to Find the LCM of 5936 and 5943?

Answer:

Least Common Multiple of 5936 and 5943 = 5039664

Step 1: Find the prime factorization of 5936

5936 = 2 x 2 x 2 x 2 x 7 x 53

Step 2: Find the prime factorization of 5943

5943 = 3 x 7 x 283

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

LCM = 5039664 = 2 x 2 x 2 x 2 x 3 x 7 x 53 x 283

Step 4: Therefore, the least common multiple of 5936 and 5943 is 5039664.