Least Common Multiple of 6936 and 6943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6936 and 6943 the smallest integer that is 48156648 that is divisible by both numbers.

Least Common Multiple (LCM) of 6936 and 6943 is 48156648.

LCM(6936,6943) = 48156648

LCM of 6936 and 6943

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

LCM of:
and

Least Common Multiple of 6936 and 6943

LCM of 6936 and 6943 is 48156648

Least common multiple can be found by multiplying the highest exponent prime factors of 6936 and 6943. First we will calculate the prime factors of 6936 and 6943.

Prime Factorization of 6936


2 6936
2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 6936 are 2, 3,17. Prime factorization of 6936 in exponential form is:

6936 = 23×31×172

Prime Factorization of 6943


53 6943
131 131
1

Prime factors of 6943 are 53,131. Prime factorization of 6943 in exponential form is:

6943 = 531×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6936 and 6943.

LCM(6936,6943) = 23×31×172×531×1311
LCM(6936,6943) = 48156648

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936

Factors of 6943

List of positive integer factors of 6943 that divides 6943 without a remainder.

1, 53, 131, 6943

Least Common Multiple of 6936 and 6943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6936 and 6943, than apply into the LCM equation.

GCF(6936,6943) = 1
LCM(6936,6943) = ( 6936 × 6943) / 1
LCM(6936,6943) = 48156648 / 1
LCM(6936,6943) = 48156648

Properties of LCM 6936 and 6943

(i) The LCM of 6943 and 6936 is associative

LCM of 6936 and 6943 = LCM of 6943 and 6936

Related Least Common Multiples of 6936

Related Least Common Multiples of 6943

Frequently Asked Questions on LCM of 6936 and 6943

1. What is the LCM of 6936 and 6943?

Answer: LCM of 6936 and 6943 is 48156648.

2. What are the Factors of 6936?

Answer: Factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936. There are 24 integers that are factors of 6936. The greatest factor of 6936 is 6936.

3. What are the Factors of 6943?

Answer: Factors of 6943 are 1, 53, 131, 6943. There are 4 integers that are factors of 6943. The greatest factor of 6943 is 6943.

4. How to Find the LCM of 6936 and 6943?

Answer:

Least Common Multiple of 6936 and 6943 = 48156648

Step 1: Find the prime factorization of 6936

6936 = 2 x 2 x 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 6943

6943 = 53 x 131

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

LCM = 48156648 = 2 x 2 x 2 x 3 x 17 x 17 x 53 x 131

Step 4: Therefore, the least common multiple of 6936 and 6943 is 48156648.