Least Common Multiple of 6947 and 6953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6947 and 6953 the smallest integer that is 48302491 that is divisible by both numbers.

Least Common Multiple (LCM) of 6947 and 6953 is 48302491.

LCM(6947,6953) = 48302491

LCM of 6947 and 6953

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

LCM of:
and

Least Common Multiple of 6947 and 6953

LCM of 6947 and 6953 is 48302491

Least common multiple can be found by multiplying the highest exponent prime factors of 6947 and 6953. First we will calculate the prime factors of 6947 and 6953.

Prime Factorization of 6947


6947 6947
1

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

6947 = 69471

Prime Factorization of 6953


17 6953
409 409
1

Prime factors of 6953 are 17,409. Prime factorization of 6953 in exponential form is:

6953 = 171×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 6947 and 6953.

LCM(6947,6953) = 171×4091×69471
LCM(6947,6953) = 48302491

Factors of 6947

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

1, 6947

Factors of 6953

List of positive integer factors of 6953 that divides 6953 without a remainder.

1, 17, 409, 6953

Least Common Multiple of 6947 and 6953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6947 and 6953, than apply into the LCM equation.

GCF(6947,6953) = 1
LCM(6947,6953) = ( 6947 × 6953) / 1
LCM(6947,6953) = 48302491 / 1
LCM(6947,6953) = 48302491

Properties of LCM 6947 and 6953

(i) The LCM of 6953 and 6947 is associative

LCM of 6947 and 6953 = LCM of 6953 and 6947

Related Least Common Multiples of 6947

Related Least Common Multiples of 6953

Frequently Asked Questions on LCM of 6947 and 6953

1. What is the LCM of 6947 and 6953?

Answer: LCM of 6947 and 6953 is 48302491.

2. 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.

3. What are the Factors of 6953?

Answer: Factors of 6953 are 1, 17, 409, 6953. There are 4 integers that are factors of 6953. The greatest factor of 6953 is 6953.

4. How to Find the LCM of 6947 and 6953?

Answer:

Least Common Multiple of 6947 and 6953 = 48302491

Step 1: Find the prime factorization of 6947

6947 = 6947

Step 2: Find the prime factorization of 6953

6953 = 17 x 409

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

LCM = 48302491 = 17 x 409 x 6947

Step 4: Therefore, the least common multiple of 6947 and 6953 is 48302491.