Least Common Multiple of 8830 and 8836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8830 and 8836 the smallest integer that is 39010940 that is divisible by both numbers.

Least Common Multiple (LCM) of 8830 and 8836 is 39010940.

LCM(8830,8836) = 39010940

LCM of 8830 and 8836

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

LCM of:
and

Least Common Multiple of 8830 and 8836

LCM of 8830 and 8836 is 39010940

Least common multiple can be found by multiplying the highest exponent prime factors of 8830 and 8836. First we will calculate the prime factors of 8830 and 8836.

Prime Factorization of 8830


2 8830
5 4415
883 883
1

Prime factors of 8830 are 2, 5,883. Prime factorization of 8830 in exponential form is:

8830 = 21×51×8831

Prime Factorization of 8836


2 8836
2 4418
47 2209
47 47
1

Prime factors of 8836 are 2,47. Prime factorization of 8836 in exponential form is:

8836 = 22×472

Now multiplying the highest exponent prime factors to calculate the LCM of 8830 and 8836.

LCM(8830,8836) = 22×51×472×8831
LCM(8830,8836) = 39010940

Factors of 8830

List of positive integer factors of 8830 that divides 8830 without a remainder.

1, 2, 5, 10, 883, 1766, 4415, 8830

Factors of 8836

List of positive integer factors of 8836 that divides 8836 without a remainder.

1, 2, 4, 47, 94, 188, 2209, 4418, 8836

Least Common Multiple of 8830 and 8836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8830 and 8836, than apply into the LCM equation.

GCF(8830,8836) = 2
LCM(8830,8836) = ( 8830 × 8836) / 2
LCM(8830,8836) = 78021880 / 2
LCM(8830,8836) = 39010940

Properties of LCM 8830 and 8836

(i) The LCM of 8836 and 8830 is associative

LCM of 8830 and 8836 = LCM of 8836 and 8830

Related Least Common Multiples of 8830

Related Least Common Multiples of 8836

Frequently Asked Questions on LCM of 8830 and 8836

1. What is the LCM of 8830 and 8836?

Answer: LCM of 8830 and 8836 is 39010940.

2. What are the Factors of 8830?

Answer: Factors of 8830 are 1, 2, 5, 10, 883, 1766, 4415, 8830. There are 8 integers that are factors of 8830. The greatest factor of 8830 is 8830.

3. What are the Factors of 8836?

Answer: Factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836. There are 9 integers that are factors of 8836. The greatest factor of 8836 is 8836.

4. How to Find the LCM of 8830 and 8836?

Answer:

Least Common Multiple of 8830 and 8836 = 39010940

Step 1: Find the prime factorization of 8830

8830 = 2 x 5 x 883

Step 2: Find the prime factorization of 8836

8836 = 2 x 2 x 47 x 47

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

LCM = 39010940 = 2 x 2 x 5 x 47 x 47 x 883

Step 4: Therefore, the least common multiple of 8830 and 8836 is 39010940.