Least Common Multiple of 5936 and 5942

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 5942 the smallest integer that is 17635856 that is divisible by both numbers.

Least Common Multiple (LCM) of 5936 and 5942 is 17635856.

LCM(5936,5942) = 17635856

LCM of 5936 and 5942

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

LCM of:
and

Least Common Multiple of 5936 and 5942

LCM of 5936 and 5942 is 17635856

Least common multiple can be found by multiplying the highest exponent prime factors of 5936 and 5942. First we will calculate the prime factors of 5936 and 5942.

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 5942


2 5942
2971 2971
1

Prime factors of 5942 are 2,2971. Prime factorization of 5942 in exponential form is:

5942 = 21×29711

Now multiplying the highest exponent prime factors to calculate the LCM of 5936 and 5942.

LCM(5936,5942) = 24×71×531×29711
LCM(5936,5942) = 17635856

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 5942

List of positive integer factors of 5942 that divides 5942 without a remainder.

1, 2, 2971, 5942

Least Common Multiple of 5936 and 5942 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 5942, than apply into the LCM equation.

GCF(5936,5942) = 2
LCM(5936,5942) = ( 5936 × 5942) / 2
LCM(5936,5942) = 35271712 / 2
LCM(5936,5942) = 17635856

Properties of LCM 5936 and 5942

(i) The LCM of 5942 and 5936 is associative

LCM of 5936 and 5942 = LCM of 5942 and 5936

Related Least Common Multiples of 5936

Related Least Common Multiples of 5942

Frequently Asked Questions on LCM of 5936 and 5942

1. What is the LCM of 5936 and 5942?

Answer: LCM of 5936 and 5942 is 17635856.

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 5942?

Answer: Factors of 5942 are 1, 2, 2971, 5942. There are 4 integers that are factors of 5942. The greatest factor of 5942 is 5942.

4. How to Find the LCM of 5936 and 5942?

Answer:

Least Common Multiple of 5936 and 5942 = 17635856

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 5942

5942 = 2 x 2971

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

LCM = 17635856 = 2 x 2 x 2 x 2 x 7 x 53 x 2971

Step 4: Therefore, the least common multiple of 5936 and 5942 is 17635856.