Least Common Multiple of 6759 and 6766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6759 and 6766 the smallest integer that is 45731394 that is divisible by both numbers.

Least Common Multiple (LCM) of 6759 and 6766 is 45731394.

LCM(6759,6766) = 45731394

LCM of 6759 and 6766

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

LCM of:
and

Least Common Multiple of 6759 and 6766

LCM of 6759 and 6766 is 45731394

Least common multiple can be found by multiplying the highest exponent prime factors of 6759 and 6766. First we will calculate the prime factors of 6759 and 6766.

Prime Factorization of 6759


3 6759
3 2253
751 751
1

Prime factors of 6759 are 3,751. Prime factorization of 6759 in exponential form is:

6759 = 32×7511

Prime Factorization of 6766


2 6766
17 3383
199 199
1

Prime factors of 6766 are 2, 17,199. Prime factorization of 6766 in exponential form is:

6766 = 21×171×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 6759 and 6766.

LCM(6759,6766) = 21×32×171×1991×7511
LCM(6759,6766) = 45731394

Factors of 6759

List of positive integer factors of 6759 that divides 6759 without a remainder.

1, 3, 9, 751, 2253, 6759

Factors of 6766

List of positive integer factors of 6766 that divides 6766 without a remainder.

1, 2, 17, 34, 199, 398, 3383, 6766

Least Common Multiple of 6759 and 6766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6759 and 6766, than apply into the LCM equation.

GCF(6759,6766) = 1
LCM(6759,6766) = ( 6759 × 6766) / 1
LCM(6759,6766) = 45731394 / 1
LCM(6759,6766) = 45731394

Properties of LCM 6759 and 6766

(i) The LCM of 6766 and 6759 is associative

LCM of 6759 and 6766 = LCM of 6766 and 6759

Related Least Common Multiples of 6759

Related Least Common Multiples of 6766

Frequently Asked Questions on LCM of 6759 and 6766

1. What is the LCM of 6759 and 6766?

Answer: LCM of 6759 and 6766 is 45731394.

2. What are the Factors of 6759?

Answer: Factors of 6759 are 1, 3, 9, 751, 2253, 6759. There are 6 integers that are factors of 6759. The greatest factor of 6759 is 6759.

3. What are the Factors of 6766?

Answer: Factors of 6766 are 1, 2, 17, 34, 199, 398, 3383, 6766. There are 8 integers that are factors of 6766. The greatest factor of 6766 is 6766.

4. How to Find the LCM of 6759 and 6766?

Answer:

Least Common Multiple of 6759 and 6766 = 45731394

Step 1: Find the prime factorization of 6759

6759 = 3 x 3 x 751

Step 2: Find the prime factorization of 6766

6766 = 2 x 17 x 199

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

LCM = 45731394 = 2 x 3 x 3 x 17 x 199 x 751

Step 4: Therefore, the least common multiple of 6759 and 6766 is 45731394.