Least Common Multiple of 1825 and 1831

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 1831 the smallest integer that is 3341575 that is divisible by both numbers.

Least Common Multiple (LCM) of 1825 and 1831 is 3341575.

LCM(1825,1831) = 3341575

LCM of 1825 and 1831

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

LCM of:
and

Least Common Multiple of 1825 and 1831

LCM of 1825 and 1831 is 3341575

Least common multiple can be found by multiplying the highest exponent prime factors of 1825 and 1831. First we will calculate the prime factors of 1825 and 1831.

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 1831


1831 1831
1

Prime factors of 1831 are 1831. Prime factorization of 1831 in exponential form is:

1831 = 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 1825 and 1831.

LCM(1825,1831) = 52×731×18311
LCM(1825,1831) = 3341575

Factors of 1825

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

1, 5, 25, 73, 365, 1825

Factors of 1831

List of positive integer factors of 1831 that divides 1831 without a remainder.

1, 1831

Least Common Multiple of 1825 and 1831 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 1831, than apply into the LCM equation.

GCF(1825,1831) = 1
LCM(1825,1831) = ( 1825 × 1831) / 1
LCM(1825,1831) = 3341575 / 1
LCM(1825,1831) = 3341575

Properties of LCM 1825 and 1831

(i) The LCM of 1831 and 1825 is associative

LCM of 1825 and 1831 = LCM of 1831 and 1825

Related Least Common Multiples of 1825

Related Least Common Multiples of 1831

Frequently Asked Questions on LCM of 1825 and 1831

1. What is the LCM of 1825 and 1831?

Answer: LCM of 1825 and 1831 is 3341575.

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 1831?

Answer: Factors of 1831 are 1, 1831. There are 2 integers that are factors of 1831. The greatest factor of 1831 is 1831.

4. How to Find the LCM of 1825 and 1831?

Answer:

Least Common Multiple of 1825 and 1831 = 3341575

Step 1: Find the prime factorization of 1825

1825 = 5 x 5 x 73

Step 2: Find the prime factorization of 1831

1831 = 1831

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

LCM = 3341575 = 5 x 5 x 73 x 1831

Step 4: Therefore, the least common multiple of 1825 and 1831 is 3341575.