Least Common Multiple of 6936 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 6936 and 6940 the smallest integer that is 12033960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6936 and 6940 is 12033960.

LCM(6936,6940) = 12033960

LCM of 6936 and 6940

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

LCM of:
and

Least Common Multiple of 6936 and 6940

LCM of 6936 and 6940 is 12033960

Least common multiple can be found by multiplying the highest exponent prime factors of 6936 and 6940. First we will calculate the prime factors of 6936 and 6940.

Prime Factorization of 6936


2 6936
2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 6936 are 2, 3,17. Prime factorization of 6936 in exponential form is:

6936 = 23×31×172

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 6936 and 6940.

LCM(6936,6940) = 23×31×51×172×3471
LCM(6936,6940) = 12033960

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936

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 6936 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 6936 and 6940, than apply into the LCM equation.

GCF(6936,6940) = 4
LCM(6936,6940) = ( 6936 × 6940) / 4
LCM(6936,6940) = 48135840 / 4
LCM(6936,6940) = 12033960

Properties of LCM 6936 and 6940

(i) The LCM of 6940 and 6936 is associative

LCM of 6936 and 6940 = LCM of 6940 and 6936

Related Least Common Multiples of 6936

Related Least Common Multiples of 6940

Frequently Asked Questions on LCM of 6936 and 6940

1. What is the LCM of 6936 and 6940?

Answer: LCM of 6936 and 6940 is 12033960.

2. What are the Factors of 6936?

Answer: Factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936. There are 24 integers that are factors of 6936. The greatest factor of 6936 is 6936.

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 6936 and 6940?

Answer:

Least Common Multiple of 6936 and 6940 = 12033960

Step 1: Find the prime factorization of 6936

6936 = 2 x 2 x 2 x 3 x 17 x 17

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 = 12033960 = 2 x 2 x 2 x 3 x 5 x 17 x 17 x 347

Step 4: Therefore, the least common multiple of 6936 and 6940 is 12033960.