Least Common Multiple of 6941 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 6941 and 6944 the smallest integer that is 48198304 that is divisible by both numbers.

Least Common Multiple (LCM) of 6941 and 6944 is 48198304.

LCM(6941,6944) = 48198304

LCM of 6941 and 6944

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

LCM of:
and

Least Common Multiple of 6941 and 6944

LCM of 6941 and 6944 is 48198304

Least common multiple can be found by multiplying the highest exponent prime factors of 6941 and 6944. First we will calculate the prime factors of 6941 and 6944.

Prime Factorization of 6941


11 6941
631 631
1

Prime factors of 6941 are 11,631. Prime factorization of 6941 in exponential form is:

6941 = 111×6311

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 6941 and 6944.

LCM(6941,6944) = 25×71×111×311×6311
LCM(6941,6944) = 48198304

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1, 11, 631, 6941

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 6941 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 6941 and 6944, than apply into the LCM equation.

GCF(6941,6944) = 1
LCM(6941,6944) = ( 6941 × 6944) / 1
LCM(6941,6944) = 48198304 / 1
LCM(6941,6944) = 48198304

Properties of LCM 6941 and 6944

(i) The LCM of 6944 and 6941 is associative

LCM of 6941 and 6944 = LCM of 6944 and 6941

Related Least Common Multiples of 6941

Related Least Common Multiples of 6944

Frequently Asked Questions on LCM of 6941 and 6944

1. What is the LCM of 6941 and 6944?

Answer: LCM of 6941 and 6944 is 48198304.

2. What are the Factors of 6941?

Answer: Factors of 6941 are 1, 11, 631, 6941. There are 4 integers that are factors of 6941. The greatest factor of 6941 is 6941.

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 6941 and 6944?

Answer:

Least Common Multiple of 6941 and 6944 = 48198304

Step 1: Find the prime factorization of 6941

6941 = 11 x 631

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 = 48198304 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 31 x 631

Step 4: Therefore, the least common multiple of 6941 and 6944 is 48198304.