Least Common Multiple of 5936 and 5940

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 5940 the smallest integer that is 8814960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5936 and 5940 is 8814960.

LCM(5936,5940) = 8814960

LCM of 5936 and 5940

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

LCM of:
and

Least Common Multiple of 5936 and 5940

LCM of 5936 and 5940 is 8814960

Least common multiple can be found by multiplying the highest exponent prime factors of 5936 and 5940. First we will calculate the prime factors of 5936 and 5940.

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 5940


2 5940
2 2970
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 5940 are 2, 3, 5,11. Prime factorization of 5940 in exponential form is:

5940 = 22×33×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5936 and 5940.

LCM(5936,5940) = 24×33×51×71×111×531
LCM(5936,5940) = 8814960

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 5940

List of positive integer factors of 5940 that divides 5940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940

Least Common Multiple of 5936 and 5940 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 5940, than apply into the LCM equation.

GCF(5936,5940) = 4
LCM(5936,5940) = ( 5936 × 5940) / 4
LCM(5936,5940) = 35259840 / 4
LCM(5936,5940) = 8814960

Properties of LCM 5936 and 5940

(i) The LCM of 5940 and 5936 is associative

LCM of 5936 and 5940 = LCM of 5940 and 5936

Related Least Common Multiples of 5936

Related Least Common Multiples of 5940

Frequently Asked Questions on LCM of 5936 and 5940

1. What is the LCM of 5936 and 5940?

Answer: LCM of 5936 and 5940 is 8814960.

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 5940?

Answer: Factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940. There are 48 integers that are factors of 5940. The greatest factor of 5940 is 5940.

4. How to Find the LCM of 5936 and 5940?

Answer:

Least Common Multiple of 5936 and 5940 = 8814960

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 5940

5940 = 2 x 2 x 3 x 3 x 3 x 5 x 11

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

LCM = 8814960 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 53

Step 4: Therefore, the least common multiple of 5936 and 5940 is 8814960.