Least Common Multiple of 6932 and 6934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6932 and 6934 the smallest integer that is 24033244 that is divisible by both numbers.

Least Common Multiple (LCM) of 6932 and 6934 is 24033244.

LCM(6932,6934) = 24033244

LCM of 6932 and 6934

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

LCM of:
and

Least Common Multiple of 6932 and 6934

LCM of 6932 and 6934 is 24033244

Least common multiple can be found by multiplying the highest exponent prime factors of 6932 and 6934. First we will calculate the prime factors of 6932 and 6934.

Prime Factorization of 6932


2 6932
2 3466
1733 1733
1

Prime factors of 6932 are 2,1733. Prime factorization of 6932 in exponential form is:

6932 = 22×17331

Prime Factorization of 6934


2 6934
3467 3467
1

Prime factors of 6934 are 2,3467. Prime factorization of 6934 in exponential form is:

6934 = 21×34671

Now multiplying the highest exponent prime factors to calculate the LCM of 6932 and 6934.

LCM(6932,6934) = 22×17331×34671
LCM(6932,6934) = 24033244

Factors of 6932

List of positive integer factors of 6932 that divides 6932 without a remainder.

1, 2, 4, 1733, 3466, 6932

Factors of 6934

List of positive integer factors of 6934 that divides 6934 without a remainder.

1, 2, 3467, 6934

Least Common Multiple of 6932 and 6934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6932 and 6934, than apply into the LCM equation.

GCF(6932,6934) = 2
LCM(6932,6934) = ( 6932 × 6934) / 2
LCM(6932,6934) = 48066488 / 2
LCM(6932,6934) = 24033244

Properties of LCM 6932 and 6934

(i) The LCM of 6934 and 6932 is associative

LCM of 6932 and 6934 = LCM of 6934 and 6932

Related Least Common Multiples of 6932

Related Least Common Multiples of 6934

Frequently Asked Questions on LCM of 6932 and 6934

1. What is the LCM of 6932 and 6934?

Answer: LCM of 6932 and 6934 is 24033244.

2. What are the Factors of 6932?

Answer: Factors of 6932 are 1, 2, 4, 1733, 3466, 6932. There are 6 integers that are factors of 6932. The greatest factor of 6932 is 6932.

3. What are the Factors of 6934?

Answer: Factors of 6934 are 1, 2, 3467, 6934. There are 4 integers that are factors of 6934. The greatest factor of 6934 is 6934.

4. How to Find the LCM of 6932 and 6934?

Answer:

Least Common Multiple of 6932 and 6934 = 24033244

Step 1: Find the prime factorization of 6932

6932 = 2 x 2 x 1733

Step 2: Find the prime factorization of 6934

6934 = 2 x 3467

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

LCM = 24033244 = 2 x 2 x 1733 x 3467

Step 4: Therefore, the least common multiple of 6932 and 6934 is 24033244.