Least Common Multiple of 6928 and 6936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6928 and 6936 the smallest integer that is 6006576 that is divisible by both numbers.

Least Common Multiple (LCM) of 6928 and 6936 is 6006576.

LCM(6928,6936) = 6006576

LCM of 6928 and 6936

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

LCM of:
and

Least Common Multiple of 6928 and 6936

LCM of 6928 and 6936 is 6006576

Least common multiple can be found by multiplying the highest exponent prime factors of 6928 and 6936. First we will calculate the prime factors of 6928 and 6936.

Prime Factorization of 6928


2 6928
2 3464
2 1732
2 866
433 433
1

Prime factors of 6928 are 2,433. Prime factorization of 6928 in exponential form is:

6928 = 24×4331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6928 and 6936.

LCM(6928,6936) = 24×31×172×4331
LCM(6928,6936) = 6006576

Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928

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

Least Common Multiple of 6928 and 6936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6928 and 6936, than apply into the LCM equation.

GCF(6928,6936) = 8
LCM(6928,6936) = ( 6928 × 6936) / 8
LCM(6928,6936) = 48052608 / 8
LCM(6928,6936) = 6006576

Properties of LCM 6928 and 6936

(i) The LCM of 6936 and 6928 is associative

LCM of 6928 and 6936 = LCM of 6936 and 6928

Related Least Common Multiples of 6928

Related Least Common Multiples of 6936

Frequently Asked Questions on LCM of 6928 and 6936

1. What is the LCM of 6928 and 6936?

Answer: LCM of 6928 and 6936 is 6006576.

2. What are the Factors of 6928?

Answer: Factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928. There are 10 integers that are factors of 6928. The greatest factor of 6928 is 6928.

3. 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.

4. How to Find the LCM of 6928 and 6936?

Answer:

Least Common Multiple of 6928 and 6936 = 6006576

Step 1: Find the prime factorization of 6928

6928 = 2 x 2 x 2 x 2 x 433

Step 2: Find the prime factorization of 6936

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

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

LCM = 6006576 = 2 x 2 x 2 x 2 x 3 x 17 x 17 x 433

Step 4: Therefore, the least common multiple of 6928 and 6936 is 6006576.