Least Common Multiple of 6746 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 6746 and 6751 the smallest integer that is 45542246 that is divisible by both numbers.

Least Common Multiple (LCM) of 6746 and 6751 is 45542246.

LCM(6746,6751) = 45542246

LCM of 6746 and 6751

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

LCM of:
and

Least Common Multiple of 6746 and 6751

LCM of 6746 and 6751 is 45542246

Least common multiple can be found by multiplying the highest exponent prime factors of 6746 and 6751. First we will calculate the prime factors of 6746 and 6751.

Prime Factorization of 6746


2 6746
3373 3373
1

Prime factors of 6746 are 2,3373. Prime factorization of 6746 in exponential form is:

6746 = 21×33731

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 6746 and 6751.

LCM(6746,6751) = 21×431×1571×33731
LCM(6746,6751) = 45542246

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1, 2, 3373, 6746

Factors of 6751

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

1, 43, 157, 6751

Least Common Multiple of 6746 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 6746 and 6751, than apply into the LCM equation.

GCF(6746,6751) = 1
LCM(6746,6751) = ( 6746 × 6751) / 1
LCM(6746,6751) = 45542246 / 1
LCM(6746,6751) = 45542246

Properties of LCM 6746 and 6751

(i) The LCM of 6751 and 6746 is associative

LCM of 6746 and 6751 = LCM of 6751 and 6746

Related Least Common Multiples of 6746

Related Least Common Multiples of 6751

Frequently Asked Questions on LCM of 6746 and 6751

1. What is the LCM of 6746 and 6751?

Answer: LCM of 6746 and 6751 is 45542246.

2. What are the Factors of 6746?

Answer: Factors of 6746 are 1, 2, 3373, 6746. There are 4 integers that are factors of 6746. The greatest factor of 6746 is 6746.

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 6746 and 6751?

Answer:

Least Common Multiple of 6746 and 6751 = 45542246

Step 1: Find the prime factorization of 6746

6746 = 2 x 3373

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 = 45542246 = 2 x 43 x 157 x 3373

Step 4: Therefore, the least common multiple of 6746 and 6751 is 45542246.