Least Common Multiple of 8746 and 8751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8746 and 8751 the smallest integer that is 76536246 that is divisible by both numbers.

Least Common Multiple (LCM) of 8746 and 8751 is 76536246.

LCM(8746,8751) = 76536246

LCM of 8746 and 8751

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

LCM of:
and

Least Common Multiple of 8746 and 8751

LCM of 8746 and 8751 is 76536246

Least common multiple can be found by multiplying the highest exponent prime factors of 8746 and 8751. First we will calculate the prime factors of 8746 and 8751.

Prime Factorization of 8746


2 8746
4373 4373
1

Prime factors of 8746 are 2,4373. Prime factorization of 8746 in exponential form is:

8746 = 21×43731

Prime Factorization of 8751


3 8751
2917 2917
1

Prime factors of 8751 are 3,2917. Prime factorization of 8751 in exponential form is:

8751 = 31×29171

Now multiplying the highest exponent prime factors to calculate the LCM of 8746 and 8751.

LCM(8746,8751) = 21×31×29171×43731
LCM(8746,8751) = 76536246

Factors of 8746

List of positive integer factors of 8746 that divides 8746 without a remainder.

1, 2, 4373, 8746

Factors of 8751

List of positive integer factors of 8751 that divides 8751 without a remainder.

1, 3, 2917, 8751

Least Common Multiple of 8746 and 8751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8746 and 8751, than apply into the LCM equation.

GCF(8746,8751) = 1
LCM(8746,8751) = ( 8746 × 8751) / 1
LCM(8746,8751) = 76536246 / 1
LCM(8746,8751) = 76536246

Properties of LCM 8746 and 8751

(i) The LCM of 8751 and 8746 is associative

LCM of 8746 and 8751 = LCM of 8751 and 8746

Related Least Common Multiples of 8746

Related Least Common Multiples of 8751

Frequently Asked Questions on LCM of 8746 and 8751

1. What is the LCM of 8746 and 8751?

Answer: LCM of 8746 and 8751 is 76536246.

2. What are the Factors of 8746?

Answer: Factors of 8746 are 1, 2, 4373, 8746. There are 4 integers that are factors of 8746. The greatest factor of 8746 is 8746.

3. What are the Factors of 8751?

Answer: Factors of 8751 are 1, 3, 2917, 8751. There are 4 integers that are factors of 8751. The greatest factor of 8751 is 8751.

4. How to Find the LCM of 8746 and 8751?

Answer:

Least Common Multiple of 8746 and 8751 = 76536246

Step 1: Find the prime factorization of 8746

8746 = 2 x 4373

Step 2: Find the prime factorization of 8751

8751 = 3 x 2917

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

LCM = 76536246 = 2 x 3 x 2917 x 4373

Step 4: Therefore, the least common multiple of 8746 and 8751 is 76536246.