Least Common Multiple of 6936 and 6944

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 6944 the smallest integer that is 6020448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6936 and 6944 is 6020448.

LCM(6936,6944) = 6020448

LCM of 6936 and 6944

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

LCM of:
and

Least Common Multiple of 6936 and 6944

LCM of 6936 and 6944 is 6020448

Least common multiple can be found by multiplying the highest exponent prime factors of 6936 and 6944. First we will calculate the prime factors of 6936 and 6944.

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 6944


2 6944
2 3472
2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 6944 are 2, 7,31. Prime factorization of 6944 in exponential form is:

6944 = 25×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6936 and 6944.

LCM(6936,6944) = 25×31×71×172×311
LCM(6936,6944) = 6020448

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 6944

List of positive integer factors of 6944 that divides 6944 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944

Least Common Multiple of 6936 and 6944 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 6944, than apply into the LCM equation.

GCF(6936,6944) = 8
LCM(6936,6944) = ( 6936 × 6944) / 8
LCM(6936,6944) = 48163584 / 8
LCM(6936,6944) = 6020448

Properties of LCM 6936 and 6944

(i) The LCM of 6944 and 6936 is associative

LCM of 6936 and 6944 = LCM of 6944 and 6936

Related Least Common Multiples of 6936

Related Least Common Multiples of 6944

Frequently Asked Questions on LCM of 6936 and 6944

1. What is the LCM of 6936 and 6944?

Answer: LCM of 6936 and 6944 is 6020448.

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 6944?

Answer: Factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944. There are 24 integers that are factors of 6944. The greatest factor of 6944 is 6944.

4. How to Find the LCM of 6936 and 6944?

Answer:

Least Common Multiple of 6936 and 6944 = 6020448

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 6944

6944 = 2 x 2 x 2 x 2 x 2 x 7 x 31

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

LCM = 6020448 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 17 x 31

Step 4: Therefore, the least common multiple of 6936 and 6944 is 6020448.