Least Common Multiple of 1825 and 1828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1825 and 1828 the smallest integer that is 3336100 that is divisible by both numbers.

Least Common Multiple (LCM) of 1825 and 1828 is 3336100.

LCM(1825,1828) = 3336100

LCM of 1825 and 1828

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

LCM of:
and

Least Common Multiple of 1825 and 1828

LCM of 1825 and 1828 is 3336100

Least common multiple can be found by multiplying the highest exponent prime factors of 1825 and 1828. First we will calculate the prime factors of 1825 and 1828.

Prime Factorization of 1825


5 1825
5 365
73 73
1

Prime factors of 1825 are 5,73. Prime factorization of 1825 in exponential form is:

1825 = 52×731

Prime Factorization of 1828


2 1828
2 914
457 457
1

Prime factors of 1828 are 2,457. Prime factorization of 1828 in exponential form is:

1828 = 22×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 1825 and 1828.

LCM(1825,1828) = 22×52×731×4571
LCM(1825,1828) = 3336100

Factors of 1825

List of positive integer factors of 1825 that divides 1825 without a remainder.

1, 5, 25, 73, 365, 1825

Factors of 1828

List of positive integer factors of 1828 that divides 1828 without a remainder.

1, 2, 4, 457, 914, 1828

Least Common Multiple of 1825 and 1828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1825 and 1828, than apply into the LCM equation.

GCF(1825,1828) = 1
LCM(1825,1828) = ( 1825 × 1828) / 1
LCM(1825,1828) = 3336100 / 1
LCM(1825,1828) = 3336100

Properties of LCM 1825 and 1828

(i) The LCM of 1828 and 1825 is associative

LCM of 1825 and 1828 = LCM of 1828 and 1825

Related Least Common Multiples of 1825

Related Least Common Multiples of 1828

Frequently Asked Questions on LCM of 1825 and 1828

1. What is the LCM of 1825 and 1828?

Answer: LCM of 1825 and 1828 is 3336100.

2. What are the Factors of 1825?

Answer: Factors of 1825 are 1, 5, 25, 73, 365, 1825. There are 6 integers that are factors of 1825. The greatest factor of 1825 is 1825.

3. What are the Factors of 1828?

Answer: Factors of 1828 are 1, 2, 4, 457, 914, 1828. There are 6 integers that are factors of 1828. The greatest factor of 1828 is 1828.

4. How to Find the LCM of 1825 and 1828?

Answer:

Least Common Multiple of 1825 and 1828 = 3336100

Step 1: Find the prime factorization of 1825

1825 = 5 x 5 x 73

Step 2: Find the prime factorization of 1828

1828 = 2 x 2 x 457

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

LCM = 3336100 = 2 x 2 x 5 x 5 x 73 x 457

Step 4: Therefore, the least common multiple of 1825 and 1828 is 3336100.