Least Common Multiple of 1845 and 1846

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 1846 the smallest integer that is 3405870 that is divisible by both numbers.

Least Common Multiple (LCM) of 1845 and 1846 is 3405870.

LCM(1845,1846) = 3405870

LCM of 1845 and 1846

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

LCM of:
and

Least Common Multiple of 1845 and 1846

LCM of 1845 and 1846 is 3405870

Least common multiple can be found by multiplying the highest exponent prime factors of 1845 and 1846. First we will calculate the prime factors of 1845 and 1846.

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 1846


2 1846
13 923
71 71
1

Prime factors of 1846 are 2, 13,71. Prime factorization of 1846 in exponential form is:

1846 = 21×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1845 and 1846.

LCM(1845,1846) = 21×32×51×131×411×711
LCM(1845,1846) = 3405870

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 1846

List of positive integer factors of 1846 that divides 1846 without a remainder.

1, 2, 13, 26, 71, 142, 923, 1846

Least Common Multiple of 1845 and 1846 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 1846, than apply into the LCM equation.

GCF(1845,1846) = 1
LCM(1845,1846) = ( 1845 × 1846) / 1
LCM(1845,1846) = 3405870 / 1
LCM(1845,1846) = 3405870

Properties of LCM 1845 and 1846

(i) The LCM of 1846 and 1845 is associative

LCM of 1845 and 1846 = LCM of 1846 and 1845

Related Least Common Multiples of 1845

Related Least Common Multiples of 1846

Frequently Asked Questions on LCM of 1845 and 1846

1. What is the LCM of 1845 and 1846?

Answer: LCM of 1845 and 1846 is 3405870.

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 1846?

Answer: Factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846. There are 8 integers that are factors of 1846. The greatest factor of 1846 is 1846.

4. How to Find the LCM of 1845 and 1846?

Answer:

Least Common Multiple of 1845 and 1846 = 3405870

Step 1: Find the prime factorization of 1845

1845 = 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 1846

1846 = 2 x 13 x 71

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

LCM = 3405870 = 2 x 3 x 3 x 5 x 13 x 41 x 71

Step 4: Therefore, the least common multiple of 1845 and 1846 is 3405870.