Least Common Multiple of 8746 and 8752

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 8752 the smallest integer that is 38272496 that is divisible by both numbers.

Least Common Multiple (LCM) of 8746 and 8752 is 38272496.

LCM(8746,8752) = 38272496

LCM of 8746 and 8752

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

LCM of:
and

Least Common Multiple of 8746 and 8752

LCM of 8746 and 8752 is 38272496

Least common multiple can be found by multiplying the highest exponent prime factors of 8746 and 8752. First we will calculate the prime factors of 8746 and 8752.

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 8752


2 8752
2 4376
2 2188
2 1094
547 547
1

Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:

8752 = 24×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 8746 and 8752.

LCM(8746,8752) = 24×5471×43731
LCM(8746,8752) = 38272496

Factors of 8746

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

1, 2, 4373, 8746

Factors of 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752

Least Common Multiple of 8746 and 8752 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 8752, than apply into the LCM equation.

GCF(8746,8752) = 2
LCM(8746,8752) = ( 8746 × 8752) / 2
LCM(8746,8752) = 76544992 / 2
LCM(8746,8752) = 38272496

Properties of LCM 8746 and 8752

(i) The LCM of 8752 and 8746 is associative

LCM of 8746 and 8752 = LCM of 8752 and 8746

Related Least Common Multiples of 8746

Related Least Common Multiples of 8752

Frequently Asked Questions on LCM of 8746 and 8752

1. What is the LCM of 8746 and 8752?

Answer: LCM of 8746 and 8752 is 38272496.

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 8752?

Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.

4. How to Find the LCM of 8746 and 8752?

Answer:

Least Common Multiple of 8746 and 8752 = 38272496

Step 1: Find the prime factorization of 8746

8746 = 2 x 4373

Step 2: Find the prime factorization of 8752

8752 = 2 x 2 x 2 x 2 x 547

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

LCM = 38272496 = 2 x 2 x 2 x 2 x 547 x 4373

Step 4: Therefore, the least common multiple of 8746 and 8752 is 38272496.