Least Common Multiple of 5932 and 5936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5932 and 5936 the smallest integer that is 8803088 that is divisible by both numbers.

Least Common Multiple (LCM) of 5932 and 5936 is 8803088.

LCM(5932,5936) = 8803088

LCM of 5932 and 5936

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

LCM of:
and

Least Common Multiple of 5932 and 5936

LCM of 5932 and 5936 is 8803088

Least common multiple can be found by multiplying the highest exponent prime factors of 5932 and 5936. First we will calculate the prime factors of 5932 and 5936.

Prime Factorization of 5932


2 5932
2 2966
1483 1483
1

Prime factors of 5932 are 2,1483. Prime factorization of 5932 in exponential form is:

5932 = 22×14831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5932 and 5936.

LCM(5932,5936) = 24×71×531×14831
LCM(5932,5936) = 8803088

Factors of 5932

List of positive integer factors of 5932 that divides 5932 without a remainder.

1, 2, 4, 1483, 2966, 5932

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

Least Common Multiple of 5932 and 5936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5932 and 5936, than apply into the LCM equation.

GCF(5932,5936) = 4
LCM(5932,5936) = ( 5932 × 5936) / 4
LCM(5932,5936) = 35212352 / 4
LCM(5932,5936) = 8803088

Properties of LCM 5932 and 5936

(i) The LCM of 5936 and 5932 is associative

LCM of 5932 and 5936 = LCM of 5936 and 5932

Related Least Common Multiples of 5932

Related Least Common Multiples of 5936

Frequently Asked Questions on LCM of 5932 and 5936

1. What is the LCM of 5932 and 5936?

Answer: LCM of 5932 and 5936 is 8803088.

2. What are the Factors of 5932?

Answer: Factors of 5932 are 1, 2, 4, 1483, 2966, 5932. There are 6 integers that are factors of 5932. The greatest factor of 5932 is 5932.

3. 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.

4. How to Find the LCM of 5932 and 5936?

Answer:

Least Common Multiple of 5932 and 5936 = 8803088

Step 1: Find the prime factorization of 5932

5932 = 2 x 2 x 1483

Step 2: Find the prime factorization of 5936

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

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

LCM = 8803088 = 2 x 2 x 2 x 2 x 7 x 53 x 1483

Step 4: Therefore, the least common multiple of 5932 and 5936 is 8803088.