Least Common Multiple of 1801 and 1802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1801 and 1802 the smallest integer that is 3245402 that is divisible by both numbers.

Least Common Multiple (LCM) of 1801 and 1802 is 3245402.

LCM(1801,1802) = 3245402

LCM of 1801 and 1802

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

LCM of:
and

Least Common Multiple of 1801 and 1802

LCM of 1801 and 1802 is 3245402

Least common multiple can be found by multiplying the highest exponent prime factors of 1801 and 1802. First we will calculate the prime factors of 1801 and 1802.

Prime Factorization of 1801


1801 1801
1

Prime factors of 1801 are 1801. Prime factorization of 1801 in exponential form is:

1801 = 18011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1801 and 1802.

LCM(1801,1802) = 21×171×531×18011
LCM(1801,1802) = 3245402

Factors of 1801

List of positive integer factors of 1801 that divides 1801 without a remainder.

1, 1801

Factors of 1802

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

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

Least Common Multiple of 1801 and 1802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1801 and 1802, than apply into the LCM equation.

GCF(1801,1802) = 1
LCM(1801,1802) = ( 1801 × 1802) / 1
LCM(1801,1802) = 3245402 / 1
LCM(1801,1802) = 3245402

Properties of LCM 1801 and 1802

(i) The LCM of 1802 and 1801 is associative

LCM of 1801 and 1802 = LCM of 1802 and 1801

Related Least Common Multiples of 1801

Related Least Common Multiples of 1802

Frequently Asked Questions on LCM of 1801 and 1802

1. What is the LCM of 1801 and 1802?

Answer: LCM of 1801 and 1802 is 3245402.

2. What are the Factors of 1801?

Answer: Factors of 1801 are 1, 1801. There are 2 integers that are factors of 1801. The greatest factor of 1801 is 1801.

3. 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.

4. How to Find the LCM of 1801 and 1802?

Answer:

Least Common Multiple of 1801 and 1802 = 3245402

Step 1: Find the prime factorization of 1801

1801 = 1801

Step 2: Find the prime factorization of 1802

1802 = 2 x 17 x 53

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

LCM = 3245402 = 2 x 17 x 53 x 1801

Step 4: Therefore, the least common multiple of 1801 and 1802 is 3245402.