Least Common Multiple of 6766 and 6774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6766 and 6774 the smallest integer that is 22916442 that is divisible by both numbers.

Least Common Multiple (LCM) of 6766 and 6774 is 22916442.

LCM(6766,6774) = 22916442

LCM of 6766 and 6774

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

LCM of:
and

Least Common Multiple of 6766 and 6774

LCM of 6766 and 6774 is 22916442

Least common multiple can be found by multiplying the highest exponent prime factors of 6766 and 6774. First we will calculate the prime factors of 6766 and 6774.

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

Prime Factorization of 6774


2 6774
3 3387
1129 1129
1

Prime factors of 6774 are 2, 3,1129. Prime factorization of 6774 in exponential form is:

6774 = 21×31×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 6766 and 6774.

LCM(6766,6774) = 21×31×171×1991×11291
LCM(6766,6774) = 22916442

Factors of 6766

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

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

Factors of 6774

List of positive integer factors of 6774 that divides 6774 without a remainder.

1, 2, 3, 6, 1129, 2258, 3387, 6774

Least Common Multiple of 6766 and 6774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6766 and 6774, than apply into the LCM equation.

GCF(6766,6774) = 2
LCM(6766,6774) = ( 6766 × 6774) / 2
LCM(6766,6774) = 45832884 / 2
LCM(6766,6774) = 22916442

Properties of LCM 6766 and 6774

(i) The LCM of 6774 and 6766 is associative

LCM of 6766 and 6774 = LCM of 6774 and 6766

Related Least Common Multiples of 6766

Related Least Common Multiples of 6774

Frequently Asked Questions on LCM of 6766 and 6774

1. What is the LCM of 6766 and 6774?

Answer: LCM of 6766 and 6774 is 22916442.

2. 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.

3. What are the Factors of 6774?

Answer: Factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774. There are 8 integers that are factors of 6774. The greatest factor of 6774 is 6774.

4. How to Find the LCM of 6766 and 6774?

Answer:

Least Common Multiple of 6766 and 6774 = 22916442

Step 1: Find the prime factorization of 6766

6766 = 2 x 17 x 199

Step 2: Find the prime factorization of 6774

6774 = 2 x 3 x 1129

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

LCM = 22916442 = 2 x 3 x 17 x 199 x 1129

Step 4: Therefore, the least common multiple of 6766 and 6774 is 22916442.