Least Common Multiple of 5936 and 5941

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 5941 the smallest integer that is 35265776 that is divisible by both numbers.

Least Common Multiple (LCM) of 5936 and 5941 is 35265776.

LCM(5936,5941) = 35265776

LCM of 5936 and 5941

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

LCM of:
and

Least Common Multiple of 5936 and 5941

LCM of 5936 and 5941 is 35265776

Least common multiple can be found by multiplying the highest exponent prime factors of 5936 and 5941. First we will calculate the prime factors of 5936 and 5941.

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 5941


13 5941
457 457
1

Prime factors of 5941 are 13,457. Prime factorization of 5941 in exponential form is:

5941 = 131×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 5936 and 5941.

LCM(5936,5941) = 24×71×131×531×4571
LCM(5936,5941) = 35265776

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 5941

List of positive integer factors of 5941 that divides 5941 without a remainder.

1, 13, 457, 5941

Least Common Multiple of 5936 and 5941 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 5941, than apply into the LCM equation.

GCF(5936,5941) = 1
LCM(5936,5941) = ( 5936 × 5941) / 1
LCM(5936,5941) = 35265776 / 1
LCM(5936,5941) = 35265776

Properties of LCM 5936 and 5941

(i) The LCM of 5941 and 5936 is associative

LCM of 5936 and 5941 = LCM of 5941 and 5936

Related Least Common Multiples of 5936

Related Least Common Multiples of 5941

Frequently Asked Questions on LCM of 5936 and 5941

1. What is the LCM of 5936 and 5941?

Answer: LCM of 5936 and 5941 is 35265776.

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 5941?

Answer: Factors of 5941 are 1, 13, 457, 5941. There are 4 integers that are factors of 5941. The greatest factor of 5941 is 5941.

4. How to Find the LCM of 5936 and 5941?

Answer:

Least Common Multiple of 5936 and 5941 = 35265776

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 5941

5941 = 13 x 457

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

LCM = 35265776 = 2 x 2 x 2 x 2 x 7 x 13 x 53 x 457

Step 4: Therefore, the least common multiple of 5936 and 5941 is 35265776.