Least Common Multiple of 8740 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 8740 and 8746 the smallest integer that is 38220020 that is divisible by both numbers.

Least Common Multiple (LCM) of 8740 and 8746 is 38220020.

LCM(8740,8746) = 38220020

LCM of 8740 and 8746

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

LCM of:
and

Least Common Multiple of 8740 and 8746

LCM of 8740 and 8746 is 38220020

Least common multiple can be found by multiplying the highest exponent prime factors of 8740 and 8746. First we will calculate the prime factors of 8740 and 8746.

Prime Factorization of 8740


2 8740
2 4370
5 2185
19 437
23 23
1

Prime factors of 8740 are 2, 5, 19,23. Prime factorization of 8740 in exponential form is:

8740 = 22×51×191×231

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 8740 and 8746.

LCM(8740,8746) = 22×51×191×231×43731
LCM(8740,8746) = 38220020

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740

Factors of 8746

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

1, 2, 4373, 8746

Least Common Multiple of 8740 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 8740 and 8746, than apply into the LCM equation.

GCF(8740,8746) = 2
LCM(8740,8746) = ( 8740 × 8746) / 2
LCM(8740,8746) = 76440040 / 2
LCM(8740,8746) = 38220020

Properties of LCM 8740 and 8746

(i) The LCM of 8746 and 8740 is associative

LCM of 8740 and 8746 = LCM of 8746 and 8740

Related Least Common Multiples of 8740

Related Least Common Multiples of 8746

Frequently Asked Questions on LCM of 8740 and 8746

1. What is the LCM of 8740 and 8746?

Answer: LCM of 8740 and 8746 is 38220020.

2. What are the Factors of 8740?

Answer: Factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740. There are 24 integers that are factors of 8740. The greatest factor of 8740 is 8740.

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 8740 and 8746?

Answer:

Least Common Multiple of 8740 and 8746 = 38220020

Step 1: Find the prime factorization of 8740

8740 = 2 x 2 x 5 x 19 x 23

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 = 38220020 = 2 x 2 x 5 x 19 x 23 x 4373

Step 4: Therefore, the least common multiple of 8740 and 8746 is 38220020.