Least Common Multiple of 6761 and 6765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6761 and 6765 the smallest integer that is 45738165 that is divisible by both numbers.

Least Common Multiple (LCM) of 6761 and 6765 is 45738165.

LCM(6761,6765) = 45738165

LCM of 6761 and 6765

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

LCM of:
and

Least Common Multiple of 6761 and 6765

LCM of 6761 and 6765 is 45738165

Least common multiple can be found by multiplying the highest exponent prime factors of 6761 and 6765. First we will calculate the prime factors of 6761 and 6765.

Prime Factorization of 6761


6761 6761
1

Prime factors of 6761 are 6761. Prime factorization of 6761 in exponential form is:

6761 = 67611

Prime Factorization of 6765


3 6765
5 2255
11 451
41 41
1

Prime factors of 6765 are 3, 5, 11,41. Prime factorization of 6765 in exponential form is:

6765 = 31×51×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6761 and 6765.

LCM(6761,6765) = 31×51×111×411×67611
LCM(6761,6765) = 45738165

Factors of 6761

List of positive integer factors of 6761 that divides 6761 without a remainder.

1, 6761

Factors of 6765

List of positive integer factors of 6765 that divides 6765 without a remainder.

1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765

Least Common Multiple of 6761 and 6765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6761 and 6765, than apply into the LCM equation.

GCF(6761,6765) = 1
LCM(6761,6765) = ( 6761 × 6765) / 1
LCM(6761,6765) = 45738165 / 1
LCM(6761,6765) = 45738165

Properties of LCM 6761 and 6765

(i) The LCM of 6765 and 6761 is associative

LCM of 6761 and 6765 = LCM of 6765 and 6761

Related Least Common Multiples of 6761

Related Least Common Multiples of 6765

Frequently Asked Questions on LCM of 6761 and 6765

1. What is the LCM of 6761 and 6765?

Answer: LCM of 6761 and 6765 is 45738165.

2. What are the Factors of 6761?

Answer: Factors of 6761 are 1, 6761. There are 2 integers that are factors of 6761. The greatest factor of 6761 is 6761.

3. What are the Factors of 6765?

Answer: Factors of 6765 are 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765. There are 16 integers that are factors of 6765. The greatest factor of 6765 is 6765.

4. How to Find the LCM of 6761 and 6765?

Answer:

Least Common Multiple of 6761 and 6765 = 45738165

Step 1: Find the prime factorization of 6761

6761 = 6761

Step 2: Find the prime factorization of 6765

6765 = 3 x 5 x 11 x 41

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

LCM = 45738165 = 3 x 5 x 11 x 41 x 6761

Step 4: Therefore, the least common multiple of 6761 and 6765 is 45738165.