Least Common Multiple of 2823 and 2825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2823 and 2825 the smallest integer that is 7974975 that is divisible by both numbers.

Least Common Multiple (LCM) of 2823 and 2825 is 7974975.

LCM(2823,2825) = 7974975

LCM of 2823 and 2825

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

LCM of:
and

Least Common Multiple of 2823 and 2825

LCM of 2823 and 2825 is 7974975

Least common multiple can be found by multiplying the highest exponent prime factors of 2823 and 2825. First we will calculate the prime factors of 2823 and 2825.

Prime Factorization of 2823


3 2823
941 941
1

Prime factors of 2823 are 3,941. Prime factorization of 2823 in exponential form is:

2823 = 31×9411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2823 and 2825.

LCM(2823,2825) = 31×52×1131×9411
LCM(2823,2825) = 7974975

Factors of 2823

List of positive integer factors of 2823 that divides 2823 without a remainder.

1, 3, 941, 2823

Factors of 2825

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

1, 5, 25, 113, 565, 2825

Least Common Multiple of 2823 and 2825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2823 and 2825, than apply into the LCM equation.

GCF(2823,2825) = 1
LCM(2823,2825) = ( 2823 × 2825) / 1
LCM(2823,2825) = 7974975 / 1
LCM(2823,2825) = 7974975

Properties of LCM 2823 and 2825

(i) The LCM of 2825 and 2823 is associative

LCM of 2823 and 2825 = LCM of 2825 and 2823

Related Least Common Multiples of 2823

Related Least Common Multiples of 2825

Frequently Asked Questions on LCM of 2823 and 2825

1. What is the LCM of 2823 and 2825?

Answer: LCM of 2823 and 2825 is 7974975.

2. What are the Factors of 2823?

Answer: Factors of 2823 are 1, 3, 941, 2823. There are 4 integers that are factors of 2823. The greatest factor of 2823 is 2823.

3. 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.

4. How to Find the LCM of 2823 and 2825?

Answer:

Least Common Multiple of 2823 and 2825 = 7974975

Step 1: Find the prime factorization of 2823

2823 = 3 x 941

Step 2: Find the prime factorization of 2825

2825 = 5 x 5 x 113

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

LCM = 7974975 = 3 x 5 x 5 x 113 x 941

Step 4: Therefore, the least common multiple of 2823 and 2825 is 7974975.