Least Common Multiple of 1845 and 1849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1845 and 1849 the smallest integer that is 3411405 that is divisible by both numbers.

Least Common Multiple (LCM) of 1845 and 1849 is 3411405.

LCM(1845,1849) = 3411405

LCM of 1845 and 1849

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

LCM of:
and

Least Common Multiple of 1845 and 1849

LCM of 1845 and 1849 is 3411405

Least common multiple can be found by multiplying the highest exponent prime factors of 1845 and 1849. First we will calculate the prime factors of 1845 and 1849.

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

Prime Factorization of 1849


43 1849
43 43
1

Prime factors of 1849 are 43. Prime factorization of 1849 in exponential form is:

1849 = 432

Now multiplying the highest exponent prime factors to calculate the LCM of 1845 and 1849.

LCM(1845,1849) = 32×51×411×432
LCM(1845,1849) = 3411405

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

Factors of 1849

List of positive integer factors of 1849 that divides 1849 without a remainder.

1, 43, 1849

Least Common Multiple of 1845 and 1849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1845 and 1849, than apply into the LCM equation.

GCF(1845,1849) = 1
LCM(1845,1849) = ( 1845 × 1849) / 1
LCM(1845,1849) = 3411405 / 1
LCM(1845,1849) = 3411405

Properties of LCM 1845 and 1849

(i) The LCM of 1849 and 1845 is associative

LCM of 1845 and 1849 = LCM of 1849 and 1845

Related Least Common Multiples of 1845

Related Least Common Multiples of 1849

Frequently Asked Questions on LCM of 1845 and 1849

1. What is the LCM of 1845 and 1849?

Answer: LCM of 1845 and 1849 is 3411405.

2. 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.

3. What are the Factors of 1849?

Answer: Factors of 1849 are 1, 43, 1849. There are 3 integers that are factors of 1849. The greatest factor of 1849 is 1849.

4. How to Find the LCM of 1845 and 1849?

Answer:

Least Common Multiple of 1845 and 1849 = 3411405

Step 1: Find the prime factorization of 1845

1845 = 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 1849

1849 = 43 x 43

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

LCM = 3411405 = 3 x 3 x 5 x 41 x 43 x 43

Step 4: Therefore, the least common multiple of 1845 and 1849 is 3411405.