Least Common Multiple of 6940 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 6940 and 6944 the smallest integer that is 12047840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6940 and 6944 is 12047840.

LCM(6940,6944) = 12047840

LCM of 6940 and 6944

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

LCM of:
and

Least Common Multiple of 6940 and 6944

LCM of 6940 and 6944 is 12047840

Least common multiple can be found by multiplying the highest exponent prime factors of 6940 and 6944. First we will calculate the prime factors of 6940 and 6944.

Prime Factorization of 6940


2 6940
2 3470
5 1735
347 347
1

Prime factors of 6940 are 2, 5,347. Prime factorization of 6940 in exponential form is:

6940 = 22×51×3471

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 6940 and 6944.

LCM(6940,6944) = 25×51×71×311×3471
LCM(6940,6944) = 12047840

Factors of 6940

List of positive integer factors of 6940 that divides 6940 without a remainder.

1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940

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 6940 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 6940 and 6944, than apply into the LCM equation.

GCF(6940,6944) = 4
LCM(6940,6944) = ( 6940 × 6944) / 4
LCM(6940,6944) = 48191360 / 4
LCM(6940,6944) = 12047840

Properties of LCM 6940 and 6944

(i) The LCM of 6944 and 6940 is associative

LCM of 6940 and 6944 = LCM of 6944 and 6940

Related Least Common Multiples of 6940

Related Least Common Multiples of 6944

Frequently Asked Questions on LCM of 6940 and 6944

1. What is the LCM of 6940 and 6944?

Answer: LCM of 6940 and 6944 is 12047840.

2. What are the Factors of 6940?

Answer: Factors of 6940 are 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940. There are 12 integers that are factors of 6940. The greatest factor of 6940 is 6940.

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 6940 and 6944?

Answer:

Least Common Multiple of 6940 and 6944 = 12047840

Step 1: Find the prime factorization of 6940

6940 = 2 x 2 x 5 x 347

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 = 12047840 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 31 x 347

Step 4: Therefore, the least common multiple of 6940 and 6944 is 12047840.