Least Common Multiple of 1802 and 1804

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 1804 the smallest integer that is 1625404 that is divisible by both numbers.

Least Common Multiple (LCM) of 1802 and 1804 is 1625404.

LCM(1802,1804) = 1625404

LCM of 1802 and 1804

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

LCM of:
and

Least Common Multiple of 1802 and 1804

LCM of 1802 and 1804 is 1625404

Least common multiple can be found by multiplying the highest exponent prime factors of 1802 and 1804. First we will calculate the prime factors of 1802 and 1804.

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 1804


2 1804
2 902
11 451
41 41
1

Prime factors of 1804 are 2, 11,41. Prime factorization of 1804 in exponential form is:

1804 = 22×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1802 and 1804.

LCM(1802,1804) = 22×111×171×411×531
LCM(1802,1804) = 1625404

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 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804

Least Common Multiple of 1802 and 1804 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 1804, than apply into the LCM equation.

GCF(1802,1804) = 2
LCM(1802,1804) = ( 1802 × 1804) / 2
LCM(1802,1804) = 3250808 / 2
LCM(1802,1804) = 1625404

Properties of LCM 1802 and 1804

(i) The LCM of 1804 and 1802 is associative

LCM of 1802 and 1804 = LCM of 1804 and 1802

Related Least Common Multiples of 1802

Related Least Common Multiples of 1804

Frequently Asked Questions on LCM of 1802 and 1804

1. What is the LCM of 1802 and 1804?

Answer: LCM of 1802 and 1804 is 1625404.

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 1804?

Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.

4. How to Find the LCM of 1802 and 1804?

Answer:

Least Common Multiple of 1802 and 1804 = 1625404

Step 1: Find the prime factorization of 1802

1802 = 2 x 17 x 53

Step 2: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

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

LCM = 1625404 = 2 x 2 x 11 x 17 x 41 x 53

Step 4: Therefore, the least common multiple of 1802 and 1804 is 1625404.