Least Common Multiple of 6736 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 6736 and 6738 the smallest integer that is 22693584 that is divisible by both numbers.

Least Common Multiple (LCM) of 6736 and 6738 is 22693584.

LCM(6736,6738) = 22693584

LCM of 6736 and 6738

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

LCM of:
and

Least Common Multiple of 6736 and 6738

LCM of 6736 and 6738 is 22693584

Least common multiple can be found by multiplying the highest exponent prime factors of 6736 and 6738. First we will calculate the prime factors of 6736 and 6738.

Prime Factorization of 6736


2 6736
2 3368
2 1684
2 842
421 421
1

Prime factors of 6736 are 2,421. Prime factorization of 6736 in exponential form is:

6736 = 24×4211

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 6736 and 6738.

LCM(6736,6738) = 24×31×4211×11231
LCM(6736,6738) = 22693584

Factors of 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736

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 6736 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 6736 and 6738, than apply into the LCM equation.

GCF(6736,6738) = 2
LCM(6736,6738) = ( 6736 × 6738) / 2
LCM(6736,6738) = 45387168 / 2
LCM(6736,6738) = 22693584

Properties of LCM 6736 and 6738

(i) The LCM of 6738 and 6736 is associative

LCM of 6736 and 6738 = LCM of 6738 and 6736

Related Least Common Multiples of 6736

Related Least Common Multiples of 6738

Frequently Asked Questions on LCM of 6736 and 6738

1. What is the LCM of 6736 and 6738?

Answer: LCM of 6736 and 6738 is 22693584.

2. What are the Factors of 6736?

Answer: Factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736. There are 10 integers that are factors of 6736. The greatest factor of 6736 is 6736.

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 6736 and 6738?

Answer:

Least Common Multiple of 6736 and 6738 = 22693584

Step 1: Find the prime factorization of 6736

6736 = 2 x 2 x 2 x 2 x 421

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 = 22693584 = 2 x 2 x 2 x 2 x 3 x 421 x 1123

Step 4: Therefore, the least common multiple of 6736 and 6738 is 22693584.