Least Common Multiple of 6792 and 6797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6792 and 6797 the smallest integer that is 46165224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6792 and 6797 is 46165224.

LCM(6792,6797) = 46165224

LCM of 6792 and 6797

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

LCM of:
and

Least Common Multiple of 6792 and 6797

LCM of 6792 and 6797 is 46165224

Least common multiple can be found by multiplying the highest exponent prime factors of 6792 and 6797. First we will calculate the prime factors of 6792 and 6797.

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

Prime Factorization of 6797


7 6797
971 971
1

Prime factors of 6797 are 7,971. Prime factorization of 6797 in exponential form is:

6797 = 71×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 6792 and 6797.

LCM(6792,6797) = 23×31×71×2831×9711
LCM(6792,6797) = 46165224

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

Factors of 6797

List of positive integer factors of 6797 that divides 6797 without a remainder.

1, 7, 971, 6797

Least Common Multiple of 6792 and 6797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6792 and 6797, than apply into the LCM equation.

GCF(6792,6797) = 1
LCM(6792,6797) = ( 6792 × 6797) / 1
LCM(6792,6797) = 46165224 / 1
LCM(6792,6797) = 46165224

Properties of LCM 6792 and 6797

(i) The LCM of 6797 and 6792 is associative

LCM of 6792 and 6797 = LCM of 6797 and 6792

Related Least Common Multiples of 6792

Related Least Common Multiples of 6797

Frequently Asked Questions on LCM of 6792 and 6797

1. What is the LCM of 6792 and 6797?

Answer: LCM of 6792 and 6797 is 46165224.

2. 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.

3. What are the Factors of 6797?

Answer: Factors of 6797 are 1, 7, 971, 6797. There are 4 integers that are factors of 6797. The greatest factor of 6797 is 6797.

4. How to Find the LCM of 6792 and 6797?

Answer:

Least Common Multiple of 6792 and 6797 = 46165224

Step 1: Find the prime factorization of 6792

6792 = 2 x 2 x 2 x 3 x 283

Step 2: Find the prime factorization of 6797

6797 = 7 x 971

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

LCM = 46165224 = 2 x 2 x 2 x 3 x 7 x 283 x 971

Step 4: Therefore, the least common multiple of 6792 and 6797 is 46165224.