Least Common Multiple of 6736 and 6743

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 6743 the smallest integer that is 45420848 that is divisible by both numbers.

Least Common Multiple (LCM) of 6736 and 6743 is 45420848.

LCM(6736,6743) = 45420848

LCM of 6736 and 6743

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

LCM of:
and

Least Common Multiple of 6736 and 6743

LCM of 6736 and 6743 is 45420848

Least common multiple can be found by multiplying the highest exponent prime factors of 6736 and 6743. First we will calculate the prime factors of 6736 and 6743.

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 6743


11 6743
613 613
1

Prime factors of 6743 are 11,613. Prime factorization of 6743 in exponential form is:

6743 = 111×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 6736 and 6743.

LCM(6736,6743) = 24×111×4211×6131
LCM(6736,6743) = 45420848

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 6743

List of positive integer factors of 6743 that divides 6743 without a remainder.

1, 11, 613, 6743

Least Common Multiple of 6736 and 6743 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 6743, than apply into the LCM equation.

GCF(6736,6743) = 1
LCM(6736,6743) = ( 6736 × 6743) / 1
LCM(6736,6743) = 45420848 / 1
LCM(6736,6743) = 45420848

Properties of LCM 6736 and 6743

(i) The LCM of 6743 and 6736 is associative

LCM of 6736 and 6743 = LCM of 6743 and 6736

Related Least Common Multiples of 6736

Related Least Common Multiples of 6743

Frequently Asked Questions on LCM of 6736 and 6743

1. What is the LCM of 6736 and 6743?

Answer: LCM of 6736 and 6743 is 45420848.

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 6743?

Answer: Factors of 6743 are 1, 11, 613, 6743. There are 4 integers that are factors of 6743. The greatest factor of 6743 is 6743.

4. How to Find the LCM of 6736 and 6743?

Answer:

Least Common Multiple of 6736 and 6743 = 45420848

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 6743

6743 = 11 x 613

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

LCM = 45420848 = 2 x 2 x 2 x 2 x 11 x 421 x 613

Step 4: Therefore, the least common multiple of 6736 and 6743 is 45420848.