Least Common Multiple of 8743 and 8746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8743 and 8746 the smallest integer that is 76466278 that is divisible by both numbers.

Least Common Multiple (LCM) of 8743 and 8746 is 76466278.

LCM(8743,8746) = 76466278

LCM of 8743 and 8746

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

LCM of:
and

Least Common Multiple of 8743 and 8746

LCM of 8743 and 8746 is 76466278

Least common multiple can be found by multiplying the highest exponent prime factors of 8743 and 8746. First we will calculate the prime factors of 8743 and 8746.

Prime Factorization of 8743


7 8743
1249 1249
1

Prime factors of 8743 are 7,1249. Prime factorization of 8743 in exponential form is:

8743 = 71×12491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8743 and 8746.

LCM(8743,8746) = 21×71×12491×43731
LCM(8743,8746) = 76466278

Factors of 8743

List of positive integer factors of 8743 that divides 8743 without a remainder.

1, 7, 1249, 8743

Factors of 8746

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

1, 2, 4373, 8746

Least Common Multiple of 8743 and 8746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8743 and 8746, than apply into the LCM equation.

GCF(8743,8746) = 1
LCM(8743,8746) = ( 8743 × 8746) / 1
LCM(8743,8746) = 76466278 / 1
LCM(8743,8746) = 76466278

Properties of LCM 8743 and 8746

(i) The LCM of 8746 and 8743 is associative

LCM of 8743 and 8746 = LCM of 8746 and 8743

Related Least Common Multiples of 8743

Related Least Common Multiples of 8746

Frequently Asked Questions on LCM of 8743 and 8746

1. What is the LCM of 8743 and 8746?

Answer: LCM of 8743 and 8746 is 76466278.

2. What are the Factors of 8743?

Answer: Factors of 8743 are 1, 7, 1249, 8743. There are 4 integers that are factors of 8743. The greatest factor of 8743 is 8743.

3. 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.

4. How to Find the LCM of 8743 and 8746?

Answer:

Least Common Multiple of 8743 and 8746 = 76466278

Step 1: Find the prime factorization of 8743

8743 = 7 x 1249

Step 2: Find the prime factorization of 8746

8746 = 2 x 4373

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

LCM = 76466278 = 2 x 7 x 1249 x 4373

Step 4: Therefore, the least common multiple of 8743 and 8746 is 76466278.