Least Common Multiple of 6744 and 6752

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 6752 the smallest integer that is 5691936 that is divisible by both numbers.

Least Common Multiple (LCM) of 6744 and 6752 is 5691936.

LCM(6744,6752) = 5691936

LCM of 6744 and 6752

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

LCM of:
and

Least Common Multiple of 6744 and 6752

LCM of 6744 and 6752 is 5691936

Least common multiple can be found by multiplying the highest exponent prime factors of 6744 and 6752. First we will calculate the prime factors of 6744 and 6752.

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 6752


2 6752
2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 6752 are 2,211. Prime factorization of 6752 in exponential form is:

6752 = 25×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 6744 and 6752.

LCM(6744,6752) = 25×31×2111×2811
LCM(6744,6752) = 5691936

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 6752

List of positive integer factors of 6752 that divides 6752 without a remainder.

1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752

Least Common Multiple of 6744 and 6752 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 6752, than apply into the LCM equation.

GCF(6744,6752) = 8
LCM(6744,6752) = ( 6744 × 6752) / 8
LCM(6744,6752) = 45535488 / 8
LCM(6744,6752) = 5691936

Properties of LCM 6744 and 6752

(i) The LCM of 6752 and 6744 is associative

LCM of 6744 and 6752 = LCM of 6752 and 6744

Related Least Common Multiples of 6744

Related Least Common Multiples of 6752

Frequently Asked Questions on LCM of 6744 and 6752

1. What is the LCM of 6744 and 6752?

Answer: LCM of 6744 and 6752 is 5691936.

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 6752?

Answer: Factors of 6752 are 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752. There are 12 integers that are factors of 6752. The greatest factor of 6752 is 6752.

4. How to Find the LCM of 6744 and 6752?

Answer:

Least Common Multiple of 6744 and 6752 = 5691936

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 6752

6752 = 2 x 2 x 2 x 2 x 2 x 211

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

LCM = 5691936 = 2 x 2 x 2 x 2 x 2 x 3 x 211 x 281

Step 4: Therefore, the least common multiple of 6744 and 6752 is 5691936.