Least Common Multiple of 1802 and 1810

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 1810 the smallest integer that is 1630810 that is divisible by both numbers.

Least Common Multiple (LCM) of 1802 and 1810 is 1630810.

LCM(1802,1810) = 1630810

LCM of 1802 and 1810

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

LCM of:
and

Least Common Multiple of 1802 and 1810

LCM of 1802 and 1810 is 1630810

Least common multiple can be found by multiplying the highest exponent prime factors of 1802 and 1810. First we will calculate the prime factors of 1802 and 1810.

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 1810


2 1810
5 905
181 181
1

Prime factors of 1810 are 2, 5,181. Prime factorization of 1810 in exponential form is:

1810 = 21×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1802 and 1810.

LCM(1802,1810) = 21×51×171×531×1811
LCM(1802,1810) = 1630810

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 1810

List of positive integer factors of 1810 that divides 1810 without a remainder.

1, 2, 5, 10, 181, 362, 905, 1810

Least Common Multiple of 1802 and 1810 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 1810, than apply into the LCM equation.

GCF(1802,1810) = 2
LCM(1802,1810) = ( 1802 × 1810) / 2
LCM(1802,1810) = 3261620 / 2
LCM(1802,1810) = 1630810

Properties of LCM 1802 and 1810

(i) The LCM of 1810 and 1802 is associative

LCM of 1802 and 1810 = LCM of 1810 and 1802

Related Least Common Multiples of 1802

Related Least Common Multiples of 1810

Frequently Asked Questions on LCM of 1802 and 1810

1. What is the LCM of 1802 and 1810?

Answer: LCM of 1802 and 1810 is 1630810.

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 1810?

Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.

4. How to Find the LCM of 1802 and 1810?

Answer:

Least Common Multiple of 1802 and 1810 = 1630810

Step 1: Find the prime factorization of 1802

1802 = 2 x 17 x 53

Step 2: Find the prime factorization of 1810

1810 = 2 x 5 x 181

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

LCM = 1630810 = 2 x 5 x 17 x 53 x 181

Step 4: Therefore, the least common multiple of 1802 and 1810 is 1630810.