Least Common Multiple of 2825 and 2830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2825 and 2830 the smallest integer that is 1598950 that is divisible by both numbers.

Least Common Multiple (LCM) of 2825 and 2830 is 1598950.

LCM(2825,2830) = 1598950

LCM of 2825 and 2830

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

LCM of:
and

Least Common Multiple of 2825 and 2830

LCM of 2825 and 2830 is 1598950

Least common multiple can be found by multiplying the highest exponent prime factors of 2825 and 2830. First we will calculate the prime factors of 2825 and 2830.

Prime Factorization of 2825


5 2825
5 565
113 113
1

Prime factors of 2825 are 5,113. Prime factorization of 2825 in exponential form is:

2825 = 52×1131

Prime Factorization of 2830


2 2830
5 1415
283 283
1

Prime factors of 2830 are 2, 5,283. Prime factorization of 2830 in exponential form is:

2830 = 21×51×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 2825 and 2830.

LCM(2825,2830) = 21×52×1131×2831
LCM(2825,2830) = 1598950

Factors of 2825

List of positive integer factors of 2825 that divides 2825 without a remainder.

1, 5, 25, 113, 565, 2825

Factors of 2830

List of positive integer factors of 2830 that divides 2830 without a remainder.

1, 2, 5, 10, 283, 566, 1415, 2830

Least Common Multiple of 2825 and 2830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2825 and 2830, than apply into the LCM equation.

GCF(2825,2830) = 5
LCM(2825,2830) = ( 2825 × 2830) / 5
LCM(2825,2830) = 7994750 / 5
LCM(2825,2830) = 1598950

Properties of LCM 2825 and 2830

(i) The LCM of 2830 and 2825 is associative

LCM of 2825 and 2830 = LCM of 2830 and 2825

Related Least Common Multiples of 2825

Related Least Common Multiples of 2830

Frequently Asked Questions on LCM of 2825 and 2830

1. What is the LCM of 2825 and 2830?

Answer: LCM of 2825 and 2830 is 1598950.

2. What are the Factors of 2825?

Answer: Factors of 2825 are 1, 5, 25, 113, 565, 2825. There are 6 integers that are factors of 2825. The greatest factor of 2825 is 2825.

3. What are the Factors of 2830?

Answer: Factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830. There are 8 integers that are factors of 2830. The greatest factor of 2830 is 2830.

4. How to Find the LCM of 2825 and 2830?

Answer:

Least Common Multiple of 2825 and 2830 = 1598950

Step 1: Find the prime factorization of 2825

2825 = 5 x 5 x 113

Step 2: Find the prime factorization of 2830

2830 = 2 x 5 x 283

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

LCM = 1598950 = 2 x 5 x 5 x 113 x 283

Step 4: Therefore, the least common multiple of 2825 and 2830 is 1598950.