Least Common Multiple of 6938 and 6943

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 6943 the smallest integer that is 48170534 that is divisible by both numbers.

Least Common Multiple (LCM) of 6938 and 6943 is 48170534.

LCM(6938,6943) = 48170534

LCM of 6938 and 6943

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

LCM of:
and

Least Common Multiple of 6938 and 6943

LCM of 6938 and 6943 is 48170534

Least common multiple can be found by multiplying the highest exponent prime factors of 6938 and 6943. First we will calculate the prime factors of 6938 and 6943.

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 6943


53 6943
131 131
1

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

6943 = 531×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6938 and 6943.

LCM(6938,6943) = 21×531×1311×34691
LCM(6938,6943) = 48170534

Factors of 6938

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

1, 2, 3469, 6938

Factors of 6943

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

1, 53, 131, 6943

Least Common Multiple of 6938 and 6943 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 6943, than apply into the LCM equation.

GCF(6938,6943) = 1
LCM(6938,6943) = ( 6938 × 6943) / 1
LCM(6938,6943) = 48170534 / 1
LCM(6938,6943) = 48170534

Properties of LCM 6938 and 6943

(i) The LCM of 6943 and 6938 is associative

LCM of 6938 and 6943 = LCM of 6943 and 6938

Related Least Common Multiples of 6938

Related Least Common Multiples of 6943

Frequently Asked Questions on LCM of 6938 and 6943

1. What is the LCM of 6938 and 6943?

Answer: LCM of 6938 and 6943 is 48170534.

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 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.

4. How to Find the LCM of 6938 and 6943?

Answer:

Least Common Multiple of 6938 and 6943 = 48170534

Step 1: Find the prime factorization of 6938

6938 = 2 x 3469

Step 2: Find the prime factorization of 6943

6943 = 53 x 131

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

LCM = 48170534 = 2 x 53 x 131 x 3469

Step 4: Therefore, the least common multiple of 6938 and 6943 is 48170534.