Least Common Multiple of 1841 and 1845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1841 and 1845 the smallest integer that is 3396645 that is divisible by both numbers.

Least Common Multiple (LCM) of 1841 and 1845 is 3396645.

LCM(1841,1845) = 3396645

LCM of 1841 and 1845

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

LCM of:
and

Least Common Multiple of 1841 and 1845

LCM of 1841 and 1845 is 3396645

Least common multiple can be found by multiplying the highest exponent prime factors of 1841 and 1845. First we will calculate the prime factors of 1841 and 1845.

Prime Factorization of 1841


7 1841
263 263
1

Prime factors of 1841 are 7,263. Prime factorization of 1841 in exponential form is:

1841 = 71×2631

Prime Factorization of 1845


3 1845
3 615
5 205
41 41
1

Prime factors of 1845 are 3, 5,41. Prime factorization of 1845 in exponential form is:

1845 = 32×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1841 and 1845.

LCM(1841,1845) = 32×51×71×411×2631
LCM(1841,1845) = 3396645

Factors of 1841

List of positive integer factors of 1841 that divides 1841 without a remainder.

1, 7, 263, 1841

Factors of 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845

Least Common Multiple of 1841 and 1845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1841 and 1845, than apply into the LCM equation.

GCF(1841,1845) = 1
LCM(1841,1845) = ( 1841 × 1845) / 1
LCM(1841,1845) = 3396645 / 1
LCM(1841,1845) = 3396645

Properties of LCM 1841 and 1845

(i) The LCM of 1845 and 1841 is associative

LCM of 1841 and 1845 = LCM of 1845 and 1841

Related Least Common Multiples of 1841

Related Least Common Multiples of 1845

Frequently Asked Questions on LCM of 1841 and 1845

1. What is the LCM of 1841 and 1845?

Answer: LCM of 1841 and 1845 is 3396645.

2. What are the Factors of 1841?

Answer: Factors of 1841 are 1, 7, 263, 1841. There are 4 integers that are factors of 1841. The greatest factor of 1841 is 1841.

3. What are the Factors of 1845?

Answer: Factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845. There are 12 integers that are factors of 1845. The greatest factor of 1845 is 1845.

4. How to Find the LCM of 1841 and 1845?

Answer:

Least Common Multiple of 1841 and 1845 = 3396645

Step 1: Find the prime factorization of 1841

1841 = 7 x 263

Step 2: Find the prime factorization of 1845

1845 = 3 x 3 x 5 x 41

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

LCM = 3396645 = 3 x 3 x 5 x 7 x 41 x 263

Step 4: Therefore, the least common multiple of 1841 and 1845 is 3396645.