Least Common Multiple of 6943 and 6949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6943 and 6949 the smallest integer that is 48246907 that is divisible by both numbers.

Least Common Multiple (LCM) of 6943 and 6949 is 48246907.

LCM(6943,6949) = 48246907

LCM of 6943 and 6949

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

LCM of:
and

Least Common Multiple of 6943 and 6949

LCM of 6943 and 6949 is 48246907

Least common multiple can be found by multiplying the highest exponent prime factors of 6943 and 6949. First we will calculate the prime factors of 6943 and 6949.

Prime Factorization of 6943


53 6943
131 131
1

Prime factors of 6943 are 53,131. Prime factorization of 6943 in exponential form is:

6943 = 531×1311

Prime Factorization of 6949


6949 6949
1

Prime factors of 6949 are 6949. Prime factorization of 6949 in exponential form is:

6949 = 69491

Now multiplying the highest exponent prime factors to calculate the LCM of 6943 and 6949.

LCM(6943,6949) = 531×1311×69491
LCM(6943,6949) = 48246907

Factors of 6943

List of positive integer factors of 6943 that divides 6943 without a remainder.

1, 53, 131, 6943

Factors of 6949

List of positive integer factors of 6949 that divides 6949 without a remainder.

1, 6949

Least Common Multiple of 6943 and 6949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6943 and 6949, than apply into the LCM equation.

GCF(6943,6949) = 1
LCM(6943,6949) = ( 6943 × 6949) / 1
LCM(6943,6949) = 48246907 / 1
LCM(6943,6949) = 48246907

Properties of LCM 6943 and 6949

(i) The LCM of 6949 and 6943 is associative

LCM of 6943 and 6949 = LCM of 6949 and 6943

Related Least Common Multiples of 6943

Related Least Common Multiples of 6949

Frequently Asked Questions on LCM of 6943 and 6949

1. What is the LCM of 6943 and 6949?

Answer: LCM of 6943 and 6949 is 48246907.

2. What are the Factors of 6943?

Answer: Factors of 6943 are 1, 53, 131, 6943. There are 4 integers that are factors of 6943. The greatest factor of 6943 is 6943.

3. What are the Factors of 6949?

Answer: Factors of 6949 are 1, 6949. There are 2 integers that are factors of 6949. The greatest factor of 6949 is 6949.

4. How to Find the LCM of 6943 and 6949?

Answer:

Least Common Multiple of 6943 and 6949 = 48246907

Step 1: Find the prime factorization of 6943

6943 = 53 x 131

Step 2: Find the prime factorization of 6949

6949 = 6949

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

LCM = 48246907 = 53 x 131 x 6949

Step 4: Therefore, the least common multiple of 6943 and 6949 is 48246907.