Least Common Multiple of 1802 and 1805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1802 and 1805 the smallest integer that is 3252610 that is divisible by both numbers.

Least Common Multiple (LCM) of 1802 and 1805 is 3252610.

LCM(1802,1805) = 3252610

LCM of 1802 and 1805

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

LCM of:
and

Least Common Multiple of 1802 and 1805

LCM of 1802 and 1805 is 3252610

Least common multiple can be found by multiplying the highest exponent prime factors of 1802 and 1805. First we will calculate the prime factors of 1802 and 1805.

Prime Factorization of 1802


2 1802
17 901
53 53
1

Prime factors of 1802 are 2, 17,53. Prime factorization of 1802 in exponential form is:

1802 = 21×171×531

Prime Factorization of 1805


5 1805
19 361
19 19
1

Prime factors of 1805 are 5,19. Prime factorization of 1805 in exponential form is:

1805 = 51×192

Now multiplying the highest exponent prime factors to calculate the LCM of 1802 and 1805.

LCM(1802,1805) = 21×51×171×192×531
LCM(1802,1805) = 3252610

Factors of 1802

List of positive integer factors of 1802 that divides 1802 without a remainder.

1, 2, 17, 34, 53, 106, 901, 1802

Factors of 1805

List of positive integer factors of 1805 that divides 1805 without a remainder.

1, 5, 19, 95, 361, 1805

Least Common Multiple of 1802 and 1805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1802 and 1805, than apply into the LCM equation.

GCF(1802,1805) = 1
LCM(1802,1805) = ( 1802 × 1805) / 1
LCM(1802,1805) = 3252610 / 1
LCM(1802,1805) = 3252610

Properties of LCM 1802 and 1805

(i) The LCM of 1805 and 1802 is associative

LCM of 1802 and 1805 = LCM of 1805 and 1802

Related Least Common Multiples of 1802

Related Least Common Multiples of 1805

Frequently Asked Questions on LCM of 1802 and 1805

1. What is the LCM of 1802 and 1805?

Answer: LCM of 1802 and 1805 is 3252610.

2. What are the Factors of 1802?

Answer: Factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802. There are 8 integers that are factors of 1802. The greatest factor of 1802 is 1802.

3. What are the Factors of 1805?

Answer: Factors of 1805 are 1, 5, 19, 95, 361, 1805. There are 6 integers that are factors of 1805. The greatest factor of 1805 is 1805.

4. How to Find the LCM of 1802 and 1805?

Answer:

Least Common Multiple of 1802 and 1805 = 3252610

Step 1: Find the prime factorization of 1802

1802 = 2 x 17 x 53

Step 2: Find the prime factorization of 1805

1805 = 5 x 19 x 19

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

LCM = 3252610 = 2 x 5 x 17 x 19 x 19 x 53

Step 4: Therefore, the least common multiple of 1802 and 1805 is 3252610.