Least Common Multiple of 6738 and 6746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6738 and 6746 the smallest integer that is 22727274 that is divisible by both numbers.

Least Common Multiple (LCM) of 6738 and 6746 is 22727274.

LCM(6738,6746) = 22727274

LCM of 6738 and 6746

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

LCM of:
and

Least Common Multiple of 6738 and 6746

LCM of 6738 and 6746 is 22727274

Least common multiple can be found by multiplying the highest exponent prime factors of 6738 and 6746. First we will calculate the prime factors of 6738 and 6746.

Prime Factorization of 6738


2 6738
3 3369
1123 1123
1

Prime factors of 6738 are 2, 3,1123. Prime factorization of 6738 in exponential form is:

6738 = 21×31×11231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6738 and 6746.

LCM(6738,6746) = 21×31×11231×33731
LCM(6738,6746) = 22727274

Factors of 6738

List of positive integer factors of 6738 that divides 6738 without a remainder.

1, 2, 3, 6, 1123, 2246, 3369, 6738

Factors of 6746

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

1, 2, 3373, 6746

Least Common Multiple of 6738 and 6746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6738 and 6746, than apply into the LCM equation.

GCF(6738,6746) = 2
LCM(6738,6746) = ( 6738 × 6746) / 2
LCM(6738,6746) = 45454548 / 2
LCM(6738,6746) = 22727274

Properties of LCM 6738 and 6746

(i) The LCM of 6746 and 6738 is associative

LCM of 6738 and 6746 = LCM of 6746 and 6738

Related Least Common Multiples of 6738

Related Least Common Multiples of 6746

Frequently Asked Questions on LCM of 6738 and 6746

1. What is the LCM of 6738 and 6746?

Answer: LCM of 6738 and 6746 is 22727274.

2. What are the Factors of 6738?

Answer: Factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738. There are 8 integers that are factors of 6738. The greatest factor of 6738 is 6738.

3. 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.

4. How to Find the LCM of 6738 and 6746?

Answer:

Least Common Multiple of 6738 and 6746 = 22727274

Step 1: Find the prime factorization of 6738

6738 = 2 x 3 x 1123

Step 2: Find the prime factorization of 6746

6746 = 2 x 3373

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

LCM = 22727274 = 2 x 3 x 1123 x 3373

Step 4: Therefore, the least common multiple of 6738 and 6746 is 22727274.