Least Common Multiple of 6744 and 6749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6744 and 6749 the smallest integer that is 45515256 that is divisible by both numbers.

Least Common Multiple (LCM) of 6744 and 6749 is 45515256.

LCM(6744,6749) = 45515256

LCM of 6744 and 6749

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

LCM of:
and

Least Common Multiple of 6744 and 6749

LCM of 6744 and 6749 is 45515256

Least common multiple can be found by multiplying the highest exponent prime factors of 6744 and 6749. First we will calculate the prime factors of 6744 and 6749.

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

Prime Factorization of 6749


17 6749
397 397
1

Prime factors of 6749 are 17,397. Prime factorization of 6749 in exponential form is:

6749 = 171×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 6744 and 6749.

LCM(6744,6749) = 23×31×171×2811×3971
LCM(6744,6749) = 45515256

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

Factors of 6749

List of positive integer factors of 6749 that divides 6749 without a remainder.

1, 17, 397, 6749

Least Common Multiple of 6744 and 6749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6744 and 6749, than apply into the LCM equation.

GCF(6744,6749) = 1
LCM(6744,6749) = ( 6744 × 6749) / 1
LCM(6744,6749) = 45515256 / 1
LCM(6744,6749) = 45515256

Properties of LCM 6744 and 6749

(i) The LCM of 6749 and 6744 is associative

LCM of 6744 and 6749 = LCM of 6749 and 6744

Related Least Common Multiples of 6744

Related Least Common Multiples of 6749

Frequently Asked Questions on LCM of 6744 and 6749

1. What is the LCM of 6744 and 6749?

Answer: LCM of 6744 and 6749 is 45515256.

2. 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.

3. What are the Factors of 6749?

Answer: Factors of 6749 are 1, 17, 397, 6749. There are 4 integers that are factors of 6749. The greatest factor of 6749 is 6749.

4. How to Find the LCM of 6744 and 6749?

Answer:

Least Common Multiple of 6744 and 6749 = 45515256

Step 1: Find the prime factorization of 6744

6744 = 2 x 2 x 2 x 3 x 281

Step 2: Find the prime factorization of 6749

6749 = 17 x 397

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

LCM = 45515256 = 2 x 2 x 2 x 3 x 17 x 281 x 397

Step 4: Therefore, the least common multiple of 6744 and 6749 is 45515256.