Least Common Multiple of 6743 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 6743 and 6744 the smallest integer that is 45474792 that is divisible by both numbers.

Least Common Multiple (LCM) of 6743 and 6744 is 45474792.

LCM(6743,6744) = 45474792

LCM of 6743 and 6744

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

LCM of:
and

Least Common Multiple of 6743 and 6744

LCM of 6743 and 6744 is 45474792

Least common multiple can be found by multiplying the highest exponent prime factors of 6743 and 6744. First we will calculate the prime factors of 6743 and 6744.

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

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 6743 and 6744.

LCM(6743,6744) = 23×31×111×2811×6131
LCM(6743,6744) = 45474792

Factors of 6743

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

1, 11, 613, 6743

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 6743 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 6743 and 6744, than apply into the LCM equation.

GCF(6743,6744) = 1
LCM(6743,6744) = ( 6743 × 6744) / 1
LCM(6743,6744) = 45474792 / 1
LCM(6743,6744) = 45474792

Properties of LCM 6743 and 6744

(i) The LCM of 6744 and 6743 is associative

LCM of 6743 and 6744 = LCM of 6744 and 6743

Related Least Common Multiples of 6743

Related Least Common Multiples of 6744

Frequently Asked Questions on LCM of 6743 and 6744

1. What is the LCM of 6743 and 6744?

Answer: LCM of 6743 and 6744 is 45474792.

2. 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.

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 6743 and 6744?

Answer:

Least Common Multiple of 6743 and 6744 = 45474792

Step 1: Find the prime factorization of 6743

6743 = 11 x 613

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 = 45474792 = 2 x 2 x 2 x 3 x 11 x 281 x 613

Step 4: Therefore, the least common multiple of 6743 and 6744 is 45474792.