Least Common Multiple of 6736 and 6744

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 6744 the smallest integer that is 5678448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6736 and 6744 is 5678448.

LCM(6736,6744) = 5678448

LCM of 6736 and 6744

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

LCM of:
and

Least Common Multiple of 6736 and 6744

LCM of 6736 and 6744 is 5678448

Least common multiple can be found by multiplying the highest exponent prime factors of 6736 and 6744. First we will calculate the prime factors of 6736 and 6744.

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 6744


2 6744
2 3372
2 1686
3 843
281 281
1

Prime factors of 6744 are 2, 3,281. Prime factorization of 6744 in exponential form is:

6744 = 23×31×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 6736 and 6744.

LCM(6736,6744) = 24×31×2811×4211
LCM(6736,6744) = 5678448

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 6744

List of positive integer factors of 6744 that divides 6744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744

Least Common Multiple of 6736 and 6744 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 6744, than apply into the LCM equation.

GCF(6736,6744) = 8
LCM(6736,6744) = ( 6736 × 6744) / 8
LCM(6736,6744) = 45427584 / 8
LCM(6736,6744) = 5678448

Properties of LCM 6736 and 6744

(i) The LCM of 6744 and 6736 is associative

LCM of 6736 and 6744 = LCM of 6744 and 6736

Related Least Common Multiples of 6736

Related Least Common Multiples of 6744

Frequently Asked Questions on LCM of 6736 and 6744

1. What is the LCM of 6736 and 6744?

Answer: LCM of 6736 and 6744 is 5678448.

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 6744?

Answer: Factors of 6744 are 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744. There are 16 integers that are factors of 6744. The greatest factor of 6744 is 6744.

4. How to Find the LCM of 6736 and 6744?

Answer:

Least Common Multiple of 6736 and 6744 = 5678448

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 6744

6744 = 2 x 2 x 2 x 3 x 281

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

LCM = 5678448 = 2 x 2 x 2 x 2 x 3 x 281 x 421

Step 4: Therefore, the least common multiple of 6736 and 6744 is 5678448.