Least Common Multiple of 5936 and 5937

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 5937 the smallest integer that is 35242032 that is divisible by both numbers.

Least Common Multiple (LCM) of 5936 and 5937 is 35242032.

LCM(5936,5937) = 35242032

LCM of 5936 and 5937

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

LCM of:
and

Least Common Multiple of 5936 and 5937

LCM of 5936 and 5937 is 35242032

Least common multiple can be found by multiplying the highest exponent prime factors of 5936 and 5937. First we will calculate the prime factors of 5936 and 5937.

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 5937


3 5937
1979 1979
1

Prime factors of 5937 are 3,1979. Prime factorization of 5937 in exponential form is:

5937 = 31×19791

Now multiplying the highest exponent prime factors to calculate the LCM of 5936 and 5937.

LCM(5936,5937) = 24×31×71×531×19791
LCM(5936,5937) = 35242032

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 5937

List of positive integer factors of 5937 that divides 5937 without a remainder.

1, 3, 1979, 5937

Least Common Multiple of 5936 and 5937 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 5937, than apply into the LCM equation.

GCF(5936,5937) = 1
LCM(5936,5937) = ( 5936 × 5937) / 1
LCM(5936,5937) = 35242032 / 1
LCM(5936,5937) = 35242032

Properties of LCM 5936 and 5937

(i) The LCM of 5937 and 5936 is associative

LCM of 5936 and 5937 = LCM of 5937 and 5936

Related Least Common Multiples of 5936

Related Least Common Multiples of 5937

Frequently Asked Questions on LCM of 5936 and 5937

1. What is the LCM of 5936 and 5937?

Answer: LCM of 5936 and 5937 is 35242032.

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 5937?

Answer: Factors of 5937 are 1, 3, 1979, 5937. There are 4 integers that are factors of 5937. The greatest factor of 5937 is 5937.

4. How to Find the LCM of 5936 and 5937?

Answer:

Least Common Multiple of 5936 and 5937 = 35242032

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 5937

5937 = 3 x 1979

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

LCM = 35242032 = 2 x 2 x 2 x 2 x 3 x 7 x 53 x 1979

Step 4: Therefore, the least common multiple of 5936 and 5937 is 35242032.