Least Common Multiple of 825 and 830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 825 and 830 the smallest integer that is 136950 that is divisible by both numbers.

Least Common Multiple (LCM) of 825 and 830 is 136950.

LCM(825,830) = 136950

LCM of 825 and 830

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

LCM of:
and

Least Common Multiple of 825 and 830

LCM of 825 and 830 is 136950

Least common multiple can be found by multiplying the highest exponent prime factors of 825 and 830. First we will calculate the prime factors of 825 and 830.

Prime Factorization of 825


3 825
5 275
5 55
11 11
1

Prime factors of 825 are 3, 5,11. Prime factorization of 825 in exponential form is:

825 = 31×52×111

Prime Factorization of 830


2 830
5 415
83 83
1

Prime factors of 830 are 2, 5,83. Prime factorization of 830 in exponential form is:

830 = 21×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 825 and 830.

LCM(825,830) = 21×31×52×111×831
LCM(825,830) = 136950

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Least Common Multiple of 825 and 830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 825 and 830, than apply into the LCM equation.

GCF(825,830) = 5
LCM(825,830) = ( 825 × 830) / 5
LCM(825,830) = 684750 / 5
LCM(825,830) = 136950

Properties of LCM 825 and 830

(i) The LCM of 830 and 825 is associative

LCM of 825 and 830 = LCM of 830 and 825

Related Least Common Multiples of 825

Related Least Common Multiples of 830

Frequently Asked Questions on LCM of 825 and 830

1. What is the LCM of 825 and 830?

Answer: LCM of 825 and 830 is 136950.

2. What are the Factors of 825?

Answer: Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. There are 12 integers that are factors of 825. The greatest factor of 825 is 825.

3. What are the Factors of 830?

Answer: Factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830. There are 8 integers that are factors of 830. The greatest factor of 830 is 830.

4. How to Find the LCM of 825 and 830?

Answer:

Least Common Multiple of 825 and 830 = 136950

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 830

830 = 2 x 5 x 83

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

LCM = 136950 = 2 x 3 x 5 x 5 x 11 x 83

Step 4: Therefore, the least common multiple of 825 and 830 is 136950.