Least Common Multiple of 6939 and 6947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6939 and 6947 the smallest integer that is 48205233 that is divisible by both numbers.

Least Common Multiple (LCM) of 6939 and 6947 is 48205233.

LCM(6939,6947) = 48205233

LCM of 6939 and 6947

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

LCM of:
and

Least Common Multiple of 6939 and 6947

LCM of 6939 and 6947 is 48205233

Least common multiple can be found by multiplying the highest exponent prime factors of 6939 and 6947. First we will calculate the prime factors of 6939 and 6947.

Prime Factorization of 6939


3 6939
3 2313
3 771
257 257
1

Prime factors of 6939 are 3,257. Prime factorization of 6939 in exponential form is:

6939 = 33×2571

Prime Factorization of 6947


6947 6947
1

Prime factors of 6947 are 6947. Prime factorization of 6947 in exponential form is:

6947 = 69471

Now multiplying the highest exponent prime factors to calculate the LCM of 6939 and 6947.

LCM(6939,6947) = 33×2571×69471
LCM(6939,6947) = 48205233

Factors of 6939

List of positive integer factors of 6939 that divides 6939 without a remainder.

1, 3, 9, 27, 257, 771, 2313, 6939

Factors of 6947

List of positive integer factors of 6947 that divides 6947 without a remainder.

1, 6947

Least Common Multiple of 6939 and 6947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6939 and 6947, than apply into the LCM equation.

GCF(6939,6947) = 1
LCM(6939,6947) = ( 6939 × 6947) / 1
LCM(6939,6947) = 48205233 / 1
LCM(6939,6947) = 48205233

Properties of LCM 6939 and 6947

(i) The LCM of 6947 and 6939 is associative

LCM of 6939 and 6947 = LCM of 6947 and 6939

Related Least Common Multiples of 6939

Related Least Common Multiples of 6947

Frequently Asked Questions on LCM of 6939 and 6947

1. What is the LCM of 6939 and 6947?

Answer: LCM of 6939 and 6947 is 48205233.

2. What are the Factors of 6939?

Answer: Factors of 6939 are 1, 3, 9, 27, 257, 771, 2313, 6939. There are 8 integers that are factors of 6939. The greatest factor of 6939 is 6939.

3. What are the Factors of 6947?

Answer: Factors of 6947 are 1, 6947. There are 2 integers that are factors of 6947. The greatest factor of 6947 is 6947.

4. How to Find the LCM of 6939 and 6947?

Answer:

Least Common Multiple of 6939 and 6947 = 48205233

Step 1: Find the prime factorization of 6939

6939 = 3 x 3 x 3 x 257

Step 2: Find the prime factorization of 6947

6947 = 6947

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

LCM = 48205233 = 3 x 3 x 3 x 257 x 6947

Step 4: Therefore, the least common multiple of 6939 and 6947 is 48205233.