Least Common Multiple of 6731 and 6738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6731 and 6738 the smallest integer that is 45353478 that is divisible by both numbers.

Least Common Multiple (LCM) of 6731 and 6738 is 45353478.

LCM(6731,6738) = 45353478

LCM of 6731 and 6738

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

LCM of:
and

Least Common Multiple of 6731 and 6738

LCM of 6731 and 6738 is 45353478

Least common multiple can be found by multiplying the highest exponent prime factors of 6731 and 6738. First we will calculate the prime factors of 6731 and 6738.

Prime Factorization of 6731


53 6731
127 127
1

Prime factors of 6731 are 53,127. Prime factorization of 6731 in exponential form is:

6731 = 531×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6731 and 6738.

LCM(6731,6738) = 21×31×531×1271×11231
LCM(6731,6738) = 45353478

Factors of 6731

List of positive integer factors of 6731 that divides 6731 without a remainder.

1, 53, 127, 6731

Factors of 6738

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

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

Least Common Multiple of 6731 and 6738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6731 and 6738, than apply into the LCM equation.

GCF(6731,6738) = 1
LCM(6731,6738) = ( 6731 × 6738) / 1
LCM(6731,6738) = 45353478 / 1
LCM(6731,6738) = 45353478

Properties of LCM 6731 and 6738

(i) The LCM of 6738 and 6731 is associative

LCM of 6731 and 6738 = LCM of 6738 and 6731

Related Least Common Multiples of 6731

Related Least Common Multiples of 6738

Frequently Asked Questions on LCM of 6731 and 6738

1. What is the LCM of 6731 and 6738?

Answer: LCM of 6731 and 6738 is 45353478.

2. What are the Factors of 6731?

Answer: Factors of 6731 are 1, 53, 127, 6731. There are 4 integers that are factors of 6731. The greatest factor of 6731 is 6731.

3. 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.

4. How to Find the LCM of 6731 and 6738?

Answer:

Least Common Multiple of 6731 and 6738 = 45353478

Step 1: Find the prime factorization of 6731

6731 = 53 x 127

Step 2: Find the prime factorization of 6738

6738 = 2 x 3 x 1123

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

LCM = 45353478 = 2 x 3 x 53 x 127 x 1123

Step 4: Therefore, the least common multiple of 6731 and 6738 is 45353478.