Least Common Multiple of 1845 and 1852

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 1852 the smallest integer that is 3416940 that is divisible by both numbers.

Least Common Multiple (LCM) of 1845 and 1852 is 3416940.

LCM(1845,1852) = 3416940

LCM of 1845 and 1852

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

LCM of:
and

Least Common Multiple of 1845 and 1852

LCM of 1845 and 1852 is 3416940

Least common multiple can be found by multiplying the highest exponent prime factors of 1845 and 1852. First we will calculate the prime factors of 1845 and 1852.

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 1852


2 1852
2 926
463 463
1

Prime factors of 1852 are 2,463. Prime factorization of 1852 in exponential form is:

1852 = 22×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 1845 and 1852.

LCM(1845,1852) = 22×32×51×411×4631
LCM(1845,1852) = 3416940

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 1852

List of positive integer factors of 1852 that divides 1852 without a remainder.

1, 2, 4, 463, 926, 1852

Least Common Multiple of 1845 and 1852 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 1852, than apply into the LCM equation.

GCF(1845,1852) = 1
LCM(1845,1852) = ( 1845 × 1852) / 1
LCM(1845,1852) = 3416940 / 1
LCM(1845,1852) = 3416940

Properties of LCM 1845 and 1852

(i) The LCM of 1852 and 1845 is associative

LCM of 1845 and 1852 = LCM of 1852 and 1845

Related Least Common Multiples of 1845

Related Least Common Multiples of 1852

Frequently Asked Questions on LCM of 1845 and 1852

1. What is the LCM of 1845 and 1852?

Answer: LCM of 1845 and 1852 is 3416940.

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 1852?

Answer: Factors of 1852 are 1, 2, 4, 463, 926, 1852. There are 6 integers that are factors of 1852. The greatest factor of 1852 is 1852.

4. How to Find the LCM of 1845 and 1852?

Answer:

Least Common Multiple of 1845 and 1852 = 3416940

Step 1: Find the prime factorization of 1845

1845 = 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 1852

1852 = 2 x 2 x 463

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

LCM = 3416940 = 2 x 2 x 3 x 3 x 5 x 41 x 463

Step 4: Therefore, the least common multiple of 1845 and 1852 is 3416940.