Least Common Multiple of 6944 and 6952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6944 and 6952 the smallest integer that is 6034336 that is divisible by both numbers.

Least Common Multiple (LCM) of 6944 and 6952 is 6034336.

LCM(6944,6952) = 6034336

LCM of 6944 and 6952

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

LCM of:
and

Least Common Multiple of 6944 and 6952

LCM of 6944 and 6952 is 6034336

Least common multiple can be found by multiplying the highest exponent prime factors of 6944 and 6952. First we will calculate the prime factors of 6944 and 6952.

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

Prime Factorization of 6952


2 6952
2 3476
2 1738
11 869
79 79
1

Prime factors of 6952 are 2, 11,79. Prime factorization of 6952 in exponential form is:

6952 = 23×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6944 and 6952.

LCM(6944,6952) = 25×71×111×311×791
LCM(6944,6952) = 6034336

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

Factors of 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952

Least Common Multiple of 6944 and 6952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6944 and 6952, than apply into the LCM equation.

GCF(6944,6952) = 8
LCM(6944,6952) = ( 6944 × 6952) / 8
LCM(6944,6952) = 48274688 / 8
LCM(6944,6952) = 6034336

Properties of LCM 6944 and 6952

(i) The LCM of 6952 and 6944 is associative

LCM of 6944 and 6952 = LCM of 6952 and 6944

Related Least Common Multiples of 6944

Related Least Common Multiples of 6952

Frequently Asked Questions on LCM of 6944 and 6952

1. What is the LCM of 6944 and 6952?

Answer: LCM of 6944 and 6952 is 6034336.

2. 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.

3. What are the Factors of 6952?

Answer: Factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952. There are 16 integers that are factors of 6952. The greatest factor of 6952 is 6952.

4. How to Find the LCM of 6944 and 6952?

Answer:

Least Common Multiple of 6944 and 6952 = 6034336

Step 1: Find the prime factorization of 6944

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

Step 2: Find the prime factorization of 6952

6952 = 2 x 2 x 2 x 11 x 79

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

LCM = 6034336 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 31 x 79

Step 4: Therefore, the least common multiple of 6944 and 6952 is 6034336.