Least Common Multiple of 5936 and 5944

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 5944 the smallest integer that is 4410448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5936 and 5944 is 4410448.

LCM(5936,5944) = 4410448

LCM of 5936 and 5944

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

LCM of:
and

Least Common Multiple of 5936 and 5944

LCM of 5936 and 5944 is 4410448

Least common multiple can be found by multiplying the highest exponent prime factors of 5936 and 5944. First we will calculate the prime factors of 5936 and 5944.

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 5944


2 5944
2 2972
2 1486
743 743
1

Prime factors of 5944 are 2,743. Prime factorization of 5944 in exponential form is:

5944 = 23×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 5936 and 5944.

LCM(5936,5944) = 24×71×531×7431
LCM(5936,5944) = 4410448

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 5944

List of positive integer factors of 5944 that divides 5944 without a remainder.

1, 2, 4, 8, 743, 1486, 2972, 5944

Least Common Multiple of 5936 and 5944 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 5944, than apply into the LCM equation.

GCF(5936,5944) = 8
LCM(5936,5944) = ( 5936 × 5944) / 8
LCM(5936,5944) = 35283584 / 8
LCM(5936,5944) = 4410448

Properties of LCM 5936 and 5944

(i) The LCM of 5944 and 5936 is associative

LCM of 5936 and 5944 = LCM of 5944 and 5936

Related Least Common Multiples of 5936

Related Least Common Multiples of 5944

Frequently Asked Questions on LCM of 5936 and 5944

1. What is the LCM of 5936 and 5944?

Answer: LCM of 5936 and 5944 is 4410448.

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 5944?

Answer: Factors of 5944 are 1, 2, 4, 8, 743, 1486, 2972, 5944. There are 8 integers that are factors of 5944. The greatest factor of 5944 is 5944.

4. How to Find the LCM of 5936 and 5944?

Answer:

Least Common Multiple of 5936 and 5944 = 4410448

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 5944

5944 = 2 x 2 x 2 x 743

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

LCM = 4410448 = 2 x 2 x 2 x 2 x 7 x 53 x 743

Step 4: Therefore, the least common multiple of 5936 and 5944 is 4410448.