Least Common Multiple of 6746 and 6754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6746 and 6754 the smallest integer that is 22781242 that is divisible by both numbers.

Least Common Multiple (LCM) of 6746 and 6754 is 22781242.

LCM(6746,6754) = 22781242

LCM of 6746 and 6754

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

LCM of:
and

Least Common Multiple of 6746 and 6754

LCM of 6746 and 6754 is 22781242

Least common multiple can be found by multiplying the highest exponent prime factors of 6746 and 6754. First we will calculate the prime factors of 6746 and 6754.

Prime Factorization of 6746


2 6746
3373 3373
1

Prime factors of 6746 are 2,3373. Prime factorization of 6746 in exponential form is:

6746 = 21×33731

Prime Factorization of 6754


2 6754
11 3377
307 307
1

Prime factors of 6754 are 2, 11,307. Prime factorization of 6754 in exponential form is:

6754 = 21×111×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 6746 and 6754.

LCM(6746,6754) = 21×111×3071×33731
LCM(6746,6754) = 22781242

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1, 2, 3373, 6746

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1, 2, 11, 22, 307, 614, 3377, 6754

Least Common Multiple of 6746 and 6754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6746 and 6754, than apply into the LCM equation.

GCF(6746,6754) = 2
LCM(6746,6754) = ( 6746 × 6754) / 2
LCM(6746,6754) = 45562484 / 2
LCM(6746,6754) = 22781242

Properties of LCM 6746 and 6754

(i) The LCM of 6754 and 6746 is associative

LCM of 6746 and 6754 = LCM of 6754 and 6746

Related Least Common Multiples of 6746

Related Least Common Multiples of 6754

Frequently Asked Questions on LCM of 6746 and 6754

1. What is the LCM of 6746 and 6754?

Answer: LCM of 6746 and 6754 is 22781242.

2. What are the Factors of 6746?

Answer: Factors of 6746 are 1, 2, 3373, 6746. There are 4 integers that are factors of 6746. The greatest factor of 6746 is 6746.

3. What are the Factors of 6754?

Answer: Factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754. There are 8 integers that are factors of 6754. The greatest factor of 6754 is 6754.

4. How to Find the LCM of 6746 and 6754?

Answer:

Least Common Multiple of 6746 and 6754 = 22781242

Step 1: Find the prime factorization of 6746

6746 = 2 x 3373

Step 2: Find the prime factorization of 6754

6754 = 2 x 11 x 307

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

LCM = 22781242 = 2 x 11 x 307 x 3373

Step 4: Therefore, the least common multiple of 6746 and 6754 is 22781242.