Least Common Multiple of 1802 and 1809

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 1809 the smallest integer that is 3259818 that is divisible by both numbers.

Least Common Multiple (LCM) of 1802 and 1809 is 3259818.

LCM(1802,1809) = 3259818

LCM of 1802 and 1809

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

LCM of:
and

Least Common Multiple of 1802 and 1809

LCM of 1802 and 1809 is 3259818

Least common multiple can be found by multiplying the highest exponent prime factors of 1802 and 1809. First we will calculate the prime factors of 1802 and 1809.

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 1809


3 1809
3 603
3 201
67 67
1

Prime factors of 1809 are 3,67. Prime factorization of 1809 in exponential form is:

1809 = 33×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1802 and 1809.

LCM(1802,1809) = 21×33×171×531×671
LCM(1802,1809) = 3259818

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 1809

List of positive integer factors of 1809 that divides 1809 without a remainder.

1, 3, 9, 27, 67, 201, 603, 1809

Least Common Multiple of 1802 and 1809 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 1809, than apply into the LCM equation.

GCF(1802,1809) = 1
LCM(1802,1809) = ( 1802 × 1809) / 1
LCM(1802,1809) = 3259818 / 1
LCM(1802,1809) = 3259818

Properties of LCM 1802 and 1809

(i) The LCM of 1809 and 1802 is associative

LCM of 1802 and 1809 = LCM of 1809 and 1802

Related Least Common Multiples of 1802

Related Least Common Multiples of 1809

Frequently Asked Questions on LCM of 1802 and 1809

1. What is the LCM of 1802 and 1809?

Answer: LCM of 1802 and 1809 is 3259818.

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 1809?

Answer: Factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809. There are 8 integers that are factors of 1809. The greatest factor of 1809 is 1809.

4. How to Find the LCM of 1802 and 1809?

Answer:

Least Common Multiple of 1802 and 1809 = 3259818

Step 1: Find the prime factorization of 1802

1802 = 2 x 17 x 53

Step 2: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

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

LCM = 3259818 = 2 x 3 x 3 x 3 x 17 x 53 x 67

Step 4: Therefore, the least common multiple of 1802 and 1809 is 3259818.