Least Common Multiple of 6753 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 6753 and 6761 the smallest integer that is 45657033 that is divisible by both numbers.

Least Common Multiple (LCM) of 6753 and 6761 is 45657033.

LCM(6753,6761) = 45657033

LCM of 6753 and 6761

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

LCM of:
and

Least Common Multiple of 6753 and 6761

LCM of 6753 and 6761 is 45657033

Least common multiple can be found by multiplying the highest exponent prime factors of 6753 and 6761. First we will calculate the prime factors of 6753 and 6761.

Prime Factorization of 6753


3 6753
2251 2251
1

Prime factors of 6753 are 3,2251. Prime factorization of 6753 in exponential form is:

6753 = 31×22511

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 6753 and 6761.

LCM(6753,6761) = 31×22511×67611
LCM(6753,6761) = 45657033

Factors of 6753

List of positive integer factors of 6753 that divides 6753 without a remainder.

1, 3, 2251, 6753

Factors of 6761

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

1, 6761

Least Common Multiple of 6753 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 6753 and 6761, than apply into the LCM equation.

GCF(6753,6761) = 1
LCM(6753,6761) = ( 6753 × 6761) / 1
LCM(6753,6761) = 45657033 / 1
LCM(6753,6761) = 45657033

Properties of LCM 6753 and 6761

(i) The LCM of 6761 and 6753 is associative

LCM of 6753 and 6761 = LCM of 6761 and 6753

Related Least Common Multiples of 6753

Related Least Common Multiples of 6761

Frequently Asked Questions on LCM of 6753 and 6761

1. What is the LCM of 6753 and 6761?

Answer: LCM of 6753 and 6761 is 45657033.

2. What are the Factors of 6753?

Answer: Factors of 6753 are 1, 3, 2251, 6753. There are 4 integers that are factors of 6753. The greatest factor of 6753 is 6753.

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 6753 and 6761?

Answer:

Least Common Multiple of 6753 and 6761 = 45657033

Step 1: Find the prime factorization of 6753

6753 = 3 x 2251

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 = 45657033 = 3 x 2251 x 6761

Step 4: Therefore, the least common multiple of 6753 and 6761 is 45657033.