Least Common Multiple of 6929 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 6929 and 6936 the smallest integer that is 48059544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6929 and 6936 is 48059544.

LCM(6929,6936) = 48059544

LCM of 6929 and 6936

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

LCM of:
and

Least Common Multiple of 6929 and 6936

LCM of 6929 and 6936 is 48059544

Least common multiple can be found by multiplying the highest exponent prime factors of 6929 and 6936. First we will calculate the prime factors of 6929 and 6936.

Prime Factorization of 6929


13 6929
13 533
41 41
1

Prime factors of 6929 are 13,41. Prime factorization of 6929 in exponential form is:

6929 = 132×411

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 6929 and 6936.

LCM(6929,6936) = 23×31×132×172×411
LCM(6929,6936) = 48059544

Factors of 6929

List of positive integer factors of 6929 that divides 6929 without a remainder.

1, 13, 41, 169, 533, 6929

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 6929 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 6929 and 6936, than apply into the LCM equation.

GCF(6929,6936) = 1
LCM(6929,6936) = ( 6929 × 6936) / 1
LCM(6929,6936) = 48059544 / 1
LCM(6929,6936) = 48059544

Properties of LCM 6929 and 6936

(i) The LCM of 6936 and 6929 is associative

LCM of 6929 and 6936 = LCM of 6936 and 6929

Related Least Common Multiples of 6929

Related Least Common Multiples of 6936

Frequently Asked Questions on LCM of 6929 and 6936

1. What is the LCM of 6929 and 6936?

Answer: LCM of 6929 and 6936 is 48059544.

2. What are the Factors of 6929?

Answer: Factors of 6929 are 1, 13, 41, 169, 533, 6929. There are 6 integers that are factors of 6929. The greatest factor of 6929 is 6929.

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 6929 and 6936?

Answer:

Least Common Multiple of 6929 and 6936 = 48059544

Step 1: Find the prime factorization of 6929

6929 = 13 x 13 x 41

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 = 48059544 = 2 x 2 x 2 x 3 x 13 x 13 x 17 x 17 x 41

Step 4: Therefore, the least common multiple of 6929 and 6936 is 48059544.