Least Common Multiple of 6932 and 6940

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 6940 the smallest integer that is 12027020 that is divisible by both numbers.

Least Common Multiple (LCM) of 6932 and 6940 is 12027020.

LCM(6932,6940) = 12027020

LCM of 6932 and 6940

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

LCM of:
and

Least Common Multiple of 6932 and 6940

LCM of 6932 and 6940 is 12027020

Least common multiple can be found by multiplying the highest exponent prime factors of 6932 and 6940. First we will calculate the prime factors of 6932 and 6940.

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 6940


2 6940
2 3470
5 1735
347 347
1

Prime factors of 6940 are 2, 5,347. Prime factorization of 6940 in exponential form is:

6940 = 22×51×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 6932 and 6940.

LCM(6932,6940) = 22×51×3471×17331
LCM(6932,6940) = 12027020

Factors of 6932

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

1, 2, 4, 1733, 3466, 6932

Factors of 6940

List of positive integer factors of 6940 that divides 6940 without a remainder.

1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940

Least Common Multiple of 6932 and 6940 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 6940, than apply into the LCM equation.

GCF(6932,6940) = 4
LCM(6932,6940) = ( 6932 × 6940) / 4
LCM(6932,6940) = 48108080 / 4
LCM(6932,6940) = 12027020

Properties of LCM 6932 and 6940

(i) The LCM of 6940 and 6932 is associative

LCM of 6932 and 6940 = LCM of 6940 and 6932

Related Least Common Multiples of 6932

Related Least Common Multiples of 6940

Frequently Asked Questions on LCM of 6932 and 6940

1. What is the LCM of 6932 and 6940?

Answer: LCM of 6932 and 6940 is 12027020.

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 6940?

Answer: Factors of 6940 are 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940. There are 12 integers that are factors of 6940. The greatest factor of 6940 is 6940.

4. How to Find the LCM of 6932 and 6940?

Answer:

Least Common Multiple of 6932 and 6940 = 12027020

Step 1: Find the prime factorization of 6932

6932 = 2 x 2 x 1733

Step 2: Find the prime factorization of 6940

6940 = 2 x 2 x 5 x 347

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

LCM = 12027020 = 2 x 2 x 5 x 347 x 1733

Step 4: Therefore, the least common multiple of 6932 and 6940 is 12027020.