Least Common Multiple of 6755 and 6761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6755 and 6761 the smallest integer that is 45670555 that is divisible by both numbers.

Least Common Multiple (LCM) of 6755 and 6761 is 45670555.

LCM(6755,6761) = 45670555

LCM of 6755 and 6761

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

LCM of:
and

Least Common Multiple of 6755 and 6761

LCM of 6755 and 6761 is 45670555

Least common multiple can be found by multiplying the highest exponent prime factors of 6755 and 6761. First we will calculate the prime factors of 6755 and 6761.

Prime Factorization of 6755


5 6755
7 1351
193 193
1

Prime factors of 6755 are 5, 7,193. Prime factorization of 6755 in exponential form is:

6755 = 51×71×1931

Prime Factorization of 6761


6761 6761
1

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

6761 = 67611

Now multiplying the highest exponent prime factors to calculate the LCM of 6755 and 6761.

LCM(6755,6761) = 51×71×1931×67611
LCM(6755,6761) = 45670555

Factors of 6755

List of positive integer factors of 6755 that divides 6755 without a remainder.

1, 5, 7, 35, 193, 965, 1351, 6755

Factors of 6761

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

1, 6761

Least Common Multiple of 6755 and 6761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6755 and 6761, than apply into the LCM equation.

GCF(6755,6761) = 1
LCM(6755,6761) = ( 6755 × 6761) / 1
LCM(6755,6761) = 45670555 / 1
LCM(6755,6761) = 45670555

Properties of LCM 6755 and 6761

(i) The LCM of 6761 and 6755 is associative

LCM of 6755 and 6761 = LCM of 6761 and 6755

Related Least Common Multiples of 6755

Related Least Common Multiples of 6761

Frequently Asked Questions on LCM of 6755 and 6761

1. What is the LCM of 6755 and 6761?

Answer: LCM of 6755 and 6761 is 45670555.

2. What are the Factors of 6755?

Answer: Factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755. There are 8 integers that are factors of 6755. The greatest factor of 6755 is 6755.

3. 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.

4. How to Find the LCM of 6755 and 6761?

Answer:

Least Common Multiple of 6755 and 6761 = 45670555

Step 1: Find the prime factorization of 6755

6755 = 5 x 7 x 193

Step 2: Find the prime factorization of 6761

6761 = 6761

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

LCM = 45670555 = 5 x 7 x 193 x 6761

Step 4: Therefore, the least common multiple of 6755 and 6761 is 45670555.