Least Common Multiple of 8830 and 8837

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 8837 the smallest integer that is 78030710 that is divisible by both numbers.

Least Common Multiple (LCM) of 8830 and 8837 is 78030710.

LCM(8830,8837) = 78030710

LCM of 8830 and 8837

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

LCM of:
and

Least Common Multiple of 8830 and 8837

LCM of 8830 and 8837 is 78030710

Least common multiple can be found by multiplying the highest exponent prime factors of 8830 and 8837. First we will calculate the prime factors of 8830 and 8837.

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 8837


8837 8837
1

Prime factors of 8837 are 8837. Prime factorization of 8837 in exponential form is:

8837 = 88371

Now multiplying the highest exponent prime factors to calculate the LCM of 8830 and 8837.

LCM(8830,8837) = 21×51×8831×88371
LCM(8830,8837) = 78030710

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 8837

List of positive integer factors of 8837 that divides 8837 without a remainder.

1, 8837

Least Common Multiple of 8830 and 8837 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 8837, than apply into the LCM equation.

GCF(8830,8837) = 1
LCM(8830,8837) = ( 8830 × 8837) / 1
LCM(8830,8837) = 78030710 / 1
LCM(8830,8837) = 78030710

Properties of LCM 8830 and 8837

(i) The LCM of 8837 and 8830 is associative

LCM of 8830 and 8837 = LCM of 8837 and 8830

Related Least Common Multiples of 8830

Related Least Common Multiples of 8837

Frequently Asked Questions on LCM of 8830 and 8837

1. What is the LCM of 8830 and 8837?

Answer: LCM of 8830 and 8837 is 78030710.

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 8837?

Answer: Factors of 8837 are 1, 8837. There are 2 integers that are factors of 8837. The greatest factor of 8837 is 8837.

4. How to Find the LCM of 8830 and 8837?

Answer:

Least Common Multiple of 8830 and 8837 = 78030710

Step 1: Find the prime factorization of 8830

8830 = 2 x 5 x 883

Step 2: Find the prime factorization of 8837

8837 = 8837

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

LCM = 78030710 = 2 x 5 x 883 x 8837

Step 4: Therefore, the least common multiple of 8830 and 8837 is 78030710.