Least Common Multiple of 6761 and 6767

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 6767 the smallest integer that is 45751687 that is divisible by both numbers.

Least Common Multiple (LCM) of 6761 and 6767 is 45751687.

LCM(6761,6767) = 45751687

LCM of 6761 and 6767

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

LCM of:
and

Least Common Multiple of 6761 and 6767

LCM of 6761 and 6767 is 45751687

Least common multiple can be found by multiplying the highest exponent prime factors of 6761 and 6767. First we will calculate the prime factors of 6761 and 6767.

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 6767


67 6767
101 101
1

Prime factors of 6767 are 67,101. Prime factorization of 6767 in exponential form is:

6767 = 671×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6761 and 6767.

LCM(6761,6767) = 671×1011×67611
LCM(6761,6767) = 45751687

Factors of 6761

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

1, 6761

Factors of 6767

List of positive integer factors of 6767 that divides 6767 without a remainder.

1, 67, 101, 6767

Least Common Multiple of 6761 and 6767 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 6767, than apply into the LCM equation.

GCF(6761,6767) = 1
LCM(6761,6767) = ( 6761 × 6767) / 1
LCM(6761,6767) = 45751687 / 1
LCM(6761,6767) = 45751687

Properties of LCM 6761 and 6767

(i) The LCM of 6767 and 6761 is associative

LCM of 6761 and 6767 = LCM of 6767 and 6761

Related Least Common Multiples of 6761

Related Least Common Multiples of 6767

Frequently Asked Questions on LCM of 6761 and 6767

1. What is the LCM of 6761 and 6767?

Answer: LCM of 6761 and 6767 is 45751687.

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 6767?

Answer: Factors of 6767 are 1, 67, 101, 6767. There are 4 integers that are factors of 6767. The greatest factor of 6767 is 6767.

4. How to Find the LCM of 6761 and 6767?

Answer:

Least Common Multiple of 6761 and 6767 = 45751687

Step 1: Find the prime factorization of 6761

6761 = 6761

Step 2: Find the prime factorization of 6767

6767 = 67 x 101

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

LCM = 45751687 = 67 x 101 x 6761

Step 4: Therefore, the least common multiple of 6761 and 6767 is 45751687.