Least Common Multiple of 1825 and 1832

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 1832 the smallest integer that is 3343400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1825 and 1832 is 3343400.

LCM(1825,1832) = 3343400

LCM of 1825 and 1832

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

LCM of:
and

Least Common Multiple of 1825 and 1832

LCM of 1825 and 1832 is 3343400

Least common multiple can be found by multiplying the highest exponent prime factors of 1825 and 1832. First we will calculate the prime factors of 1825 and 1832.

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 1832


2 1832
2 916
2 458
229 229
1

Prime factors of 1832 are 2,229. Prime factorization of 1832 in exponential form is:

1832 = 23×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 1825 and 1832.

LCM(1825,1832) = 23×52×731×2291
LCM(1825,1832) = 3343400

Factors of 1825

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

1, 5, 25, 73, 365, 1825

Factors of 1832

List of positive integer factors of 1832 that divides 1832 without a remainder.

1, 2, 4, 8, 229, 458, 916, 1832

Least Common Multiple of 1825 and 1832 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 1832, than apply into the LCM equation.

GCF(1825,1832) = 1
LCM(1825,1832) = ( 1825 × 1832) / 1
LCM(1825,1832) = 3343400 / 1
LCM(1825,1832) = 3343400

Properties of LCM 1825 and 1832

(i) The LCM of 1832 and 1825 is associative

LCM of 1825 and 1832 = LCM of 1832 and 1825

Related Least Common Multiples of 1825

Related Least Common Multiples of 1832

Frequently Asked Questions on LCM of 1825 and 1832

1. What is the LCM of 1825 and 1832?

Answer: LCM of 1825 and 1832 is 3343400.

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 1832?

Answer: Factors of 1832 are 1, 2, 4, 8, 229, 458, 916, 1832. There are 8 integers that are factors of 1832. The greatest factor of 1832 is 1832.

4. How to Find the LCM of 1825 and 1832?

Answer:

Least Common Multiple of 1825 and 1832 = 3343400

Step 1: Find the prime factorization of 1825

1825 = 5 x 5 x 73

Step 2: Find the prime factorization of 1832

1832 = 2 x 2 x 2 x 229

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

LCM = 3343400 = 2 x 2 x 2 x 5 x 5 x 73 x 229

Step 4: Therefore, the least common multiple of 1825 and 1832 is 3343400.