Least Common Multiple of 6788 and 6792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6788 and 6792 the smallest integer that is 11526024 that is divisible by both numbers.

Least Common Multiple (LCM) of 6788 and 6792 is 11526024.

LCM(6788,6792) = 11526024

LCM of 6788 and 6792

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

LCM of:
and

Least Common Multiple of 6788 and 6792

LCM of 6788 and 6792 is 11526024

Least common multiple can be found by multiplying the highest exponent prime factors of 6788 and 6792. First we will calculate the prime factors of 6788 and 6792.

Prime Factorization of 6788


2 6788
2 3394
1697 1697
1

Prime factors of 6788 are 2,1697. Prime factorization of 6788 in exponential form is:

6788 = 22×16971

Prime Factorization of 6792


2 6792
2 3396
2 1698
3 849
283 283
1

Prime factors of 6792 are 2, 3,283. Prime factorization of 6792 in exponential form is:

6792 = 23×31×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 6788 and 6792.

LCM(6788,6792) = 23×31×2831×16971
LCM(6788,6792) = 11526024

Factors of 6788

List of positive integer factors of 6788 that divides 6788 without a remainder.

1, 2, 4, 1697, 3394, 6788

Factors of 6792

List of positive integer factors of 6792 that divides 6792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792

Least Common Multiple of 6788 and 6792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6788 and 6792, than apply into the LCM equation.

GCF(6788,6792) = 4
LCM(6788,6792) = ( 6788 × 6792) / 4
LCM(6788,6792) = 46104096 / 4
LCM(6788,6792) = 11526024

Properties of LCM 6788 and 6792

(i) The LCM of 6792 and 6788 is associative

LCM of 6788 and 6792 = LCM of 6792 and 6788

Related Least Common Multiples of 6788

Related Least Common Multiples of 6792

Frequently Asked Questions on LCM of 6788 and 6792

1. What is the LCM of 6788 and 6792?

Answer: LCM of 6788 and 6792 is 11526024.

2. What are the Factors of 6788?

Answer: Factors of 6788 are 1, 2, 4, 1697, 3394, 6788. There are 6 integers that are factors of 6788. The greatest factor of 6788 is 6788.

3. What are the Factors of 6792?

Answer: Factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792. There are 16 integers that are factors of 6792. The greatest factor of 6792 is 6792.

4. How to Find the LCM of 6788 and 6792?

Answer:

Least Common Multiple of 6788 and 6792 = 11526024

Step 1: Find the prime factorization of 6788

6788 = 2 x 2 x 1697

Step 2: Find the prime factorization of 6792

6792 = 2 x 2 x 2 x 3 x 283

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

LCM = 11526024 = 2 x 2 x 2 x 3 x 283 x 1697

Step 4: Therefore, the least common multiple of 6788 and 6792 is 11526024.