Least Common Multiple of 6938 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 6938 and 6944 the smallest integer that is 24088736 that is divisible by both numbers.

Least Common Multiple (LCM) of 6938 and 6944 is 24088736.

LCM(6938,6944) = 24088736

LCM of 6938 and 6944

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

LCM of:
and

Least Common Multiple of 6938 and 6944

LCM of 6938 and 6944 is 24088736

Least common multiple can be found by multiplying the highest exponent prime factors of 6938 and 6944. First we will calculate the prime factors of 6938 and 6944.

Prime Factorization of 6938


2 6938
3469 3469
1

Prime factors of 6938 are 2,3469. Prime factorization of 6938 in exponential form is:

6938 = 21×34691

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 6938 and 6944.

LCM(6938,6944) = 25×71×311×34691
LCM(6938,6944) = 24088736

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1, 2, 3469, 6938

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 6938 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 6938 and 6944, than apply into the LCM equation.

GCF(6938,6944) = 2
LCM(6938,6944) = ( 6938 × 6944) / 2
LCM(6938,6944) = 48177472 / 2
LCM(6938,6944) = 24088736

Properties of LCM 6938 and 6944

(i) The LCM of 6944 and 6938 is associative

LCM of 6938 and 6944 = LCM of 6944 and 6938

Related Least Common Multiples of 6938

Related Least Common Multiples of 6944

Frequently Asked Questions on LCM of 6938 and 6944

1. What is the LCM of 6938 and 6944?

Answer: LCM of 6938 and 6944 is 24088736.

2. What are the Factors of 6938?

Answer: Factors of 6938 are 1, 2, 3469, 6938. There are 4 integers that are factors of 6938. The greatest factor of 6938 is 6938.

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 6938 and 6944?

Answer:

Least Common Multiple of 6938 and 6944 = 24088736

Step 1: Find the prime factorization of 6938

6938 = 2 x 3469

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 = 24088736 = 2 x 2 x 2 x 2 x 2 x 7 x 31 x 3469

Step 4: Therefore, the least common multiple of 6938 and 6944 is 24088736.