Least Common Multiple of 6744 and 6751

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 6751 the smallest integer that is 45528744 that is divisible by both numbers.

Least Common Multiple (LCM) of 6744 and 6751 is 45528744.

LCM(6744,6751) = 45528744

LCM of 6744 and 6751

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

LCM of:
and

Least Common Multiple of 6744 and 6751

LCM of 6744 and 6751 is 45528744

Least common multiple can be found by multiplying the highest exponent prime factors of 6744 and 6751. First we will calculate the prime factors of 6744 and 6751.

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 6751


43 6751
157 157
1

Prime factors of 6751 are 43,157. Prime factorization of 6751 in exponential form is:

6751 = 431×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6744 and 6751.

LCM(6744,6751) = 23×31×431×1571×2811
LCM(6744,6751) = 45528744

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 6751

List of positive integer factors of 6751 that divides 6751 without a remainder.

1, 43, 157, 6751

Least Common Multiple of 6744 and 6751 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 6751, than apply into the LCM equation.

GCF(6744,6751) = 1
LCM(6744,6751) = ( 6744 × 6751) / 1
LCM(6744,6751) = 45528744 / 1
LCM(6744,6751) = 45528744

Properties of LCM 6744 and 6751

(i) The LCM of 6751 and 6744 is associative

LCM of 6744 and 6751 = LCM of 6751 and 6744

Related Least Common Multiples of 6744

Related Least Common Multiples of 6751

Frequently Asked Questions on LCM of 6744 and 6751

1. What is the LCM of 6744 and 6751?

Answer: LCM of 6744 and 6751 is 45528744.

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 6751?

Answer: Factors of 6751 are 1, 43, 157, 6751. There are 4 integers that are factors of 6751. The greatest factor of 6751 is 6751.

4. How to Find the LCM of 6744 and 6751?

Answer:

Least Common Multiple of 6744 and 6751 = 45528744

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 6751

6751 = 43 x 157

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

LCM = 45528744 = 2 x 2 x 2 x 3 x 43 x 157 x 281

Step 4: Therefore, the least common multiple of 6744 and 6751 is 45528744.