Least Common Multiple of 6738 and 6741

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 6741 the smallest integer that is 15140286 that is divisible by both numbers.

Least Common Multiple (LCM) of 6738 and 6741 is 15140286.

LCM(6738,6741) = 15140286

LCM of 6738 and 6741

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

LCM of:
and

Least Common Multiple of 6738 and 6741

LCM of 6738 and 6741 is 15140286

Least common multiple can be found by multiplying the highest exponent prime factors of 6738 and 6741. First we will calculate the prime factors of 6738 and 6741.

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 6741


3 6741
3 2247
7 749
107 107
1

Prime factors of 6741 are 3, 7,107. Prime factorization of 6741 in exponential form is:

6741 = 32×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6738 and 6741.

LCM(6738,6741) = 21×32×71×1071×11231
LCM(6738,6741) = 15140286

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 6741

List of positive integer factors of 6741 that divides 6741 without a remainder.

1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741

Least Common Multiple of 6738 and 6741 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 6741, than apply into the LCM equation.

GCF(6738,6741) = 3
LCM(6738,6741) = ( 6738 × 6741) / 3
LCM(6738,6741) = 45420858 / 3
LCM(6738,6741) = 15140286

Properties of LCM 6738 and 6741

(i) The LCM of 6741 and 6738 is associative

LCM of 6738 and 6741 = LCM of 6741 and 6738

Related Least Common Multiples of 6738

Related Least Common Multiples of 6741

Frequently Asked Questions on LCM of 6738 and 6741

1. What is the LCM of 6738 and 6741?

Answer: LCM of 6738 and 6741 is 15140286.

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 6741?

Answer: Factors of 6741 are 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741. There are 12 integers that are factors of 6741. The greatest factor of 6741 is 6741.

4. How to Find the LCM of 6738 and 6741?

Answer:

Least Common Multiple of 6738 and 6741 = 15140286

Step 1: Find the prime factorization of 6738

6738 = 2 x 3 x 1123

Step 2: Find the prime factorization of 6741

6741 = 3 x 3 x 7 x 107

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

LCM = 15140286 = 2 x 3 x 3 x 7 x 107 x 1123

Step 4: Therefore, the least common multiple of 6738 and 6741 is 15140286.