Least Common Multiple of 8746 and 8753

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 8753 the smallest integer that is 76553738 that is divisible by both numbers.

Least Common Multiple (LCM) of 8746 and 8753 is 76553738.

LCM(8746,8753) = 76553738

LCM of 8746 and 8753

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

LCM of:
and

Least Common Multiple of 8746 and 8753

LCM of 8746 and 8753 is 76553738

Least common multiple can be found by multiplying the highest exponent prime factors of 8746 and 8753. First we will calculate the prime factors of 8746 and 8753.

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 8753


8753 8753
1

Prime factors of 8753 are 8753. Prime factorization of 8753 in exponential form is:

8753 = 87531

Now multiplying the highest exponent prime factors to calculate the LCM of 8746 and 8753.

LCM(8746,8753) = 21×43731×87531
LCM(8746,8753) = 76553738

Factors of 8746

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

1, 2, 4373, 8746

Factors of 8753

List of positive integer factors of 8753 that divides 8753 without a remainder.

1, 8753

Least Common Multiple of 8746 and 8753 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 8753, than apply into the LCM equation.

GCF(8746,8753) = 1
LCM(8746,8753) = ( 8746 × 8753) / 1
LCM(8746,8753) = 76553738 / 1
LCM(8746,8753) = 76553738

Properties of LCM 8746 and 8753

(i) The LCM of 8753 and 8746 is associative

LCM of 8746 and 8753 = LCM of 8753 and 8746

Related Least Common Multiples of 8746

Related Least Common Multiples of 8753

Frequently Asked Questions on LCM of 8746 and 8753

1. What is the LCM of 8746 and 8753?

Answer: LCM of 8746 and 8753 is 76553738.

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 8753?

Answer: Factors of 8753 are 1, 8753. There are 2 integers that are factors of 8753. The greatest factor of 8753 is 8753.

4. How to Find the LCM of 8746 and 8753?

Answer:

Least Common Multiple of 8746 and 8753 = 76553738

Step 1: Find the prime factorization of 8746

8746 = 2 x 4373

Step 2: Find the prime factorization of 8753

8753 = 8753

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

LCM = 76553738 = 2 x 4373 x 8753

Step 4: Therefore, the least common multiple of 8746 and 8753 is 76553738.