Least Common Multiple of 2825 and 2833

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 2833 the smallest integer that is 8003225 that is divisible by both numbers.

Least Common Multiple (LCM) of 2825 and 2833 is 8003225.

LCM(2825,2833) = 8003225

LCM of 2825 and 2833

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

LCM of:
and

Least Common Multiple of 2825 and 2833

LCM of 2825 and 2833 is 8003225

Least common multiple can be found by multiplying the highest exponent prime factors of 2825 and 2833. First we will calculate the prime factors of 2825 and 2833.

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 2833


2833 2833
1

Prime factors of 2833 are 2833. Prime factorization of 2833 in exponential form is:

2833 = 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 2825 and 2833.

LCM(2825,2833) = 52×1131×28331
LCM(2825,2833) = 8003225

Factors of 2825

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

1, 5, 25, 113, 565, 2825

Factors of 2833

List of positive integer factors of 2833 that divides 2833 without a remainder.

1, 2833

Least Common Multiple of 2825 and 2833 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 2833, than apply into the LCM equation.

GCF(2825,2833) = 1
LCM(2825,2833) = ( 2825 × 2833) / 1
LCM(2825,2833) = 8003225 / 1
LCM(2825,2833) = 8003225

Properties of LCM 2825 and 2833

(i) The LCM of 2833 and 2825 is associative

LCM of 2825 and 2833 = LCM of 2833 and 2825

Related Least Common Multiples of 2825

Related Least Common Multiples of 2833

Frequently Asked Questions on LCM of 2825 and 2833

1. What is the LCM of 2825 and 2833?

Answer: LCM of 2825 and 2833 is 8003225.

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 2833?

Answer: Factors of 2833 are 1, 2833. There are 2 integers that are factors of 2833. The greatest factor of 2833 is 2833.

4. How to Find the LCM of 2825 and 2833?

Answer:

Least Common Multiple of 2825 and 2833 = 8003225

Step 1: Find the prime factorization of 2825

2825 = 5 x 5 x 113

Step 2: Find the prime factorization of 2833

2833 = 2833

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

LCM = 8003225 = 5 x 5 x 113 x 2833

Step 4: Therefore, the least common multiple of 2825 and 2833 is 8003225.