Least Common Multiple of 1800 and 1801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1800 and 1801 the smallest integer that is 3241800 that is divisible by both numbers.

Least Common Multiple (LCM) of 1800 and 1801 is 3241800.

LCM(1800,1801) = 3241800

LCM of 1800 and 1801

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

LCM of:
and

Least Common Multiple of 1800 and 1801

LCM of 1800 and 1801 is 3241800

Least common multiple can be found by multiplying the highest exponent prime factors of 1800 and 1801. First we will calculate the prime factors of 1800 and 1801.

Prime Factorization of 1800


2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 1800 are 2, 3,5. Prime factorization of 1800 in exponential form is:

1800 = 23×32×52

Prime Factorization of 1801


1801 1801
1

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

1801 = 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 1800 and 1801.

LCM(1800,1801) = 23×32×52×18011
LCM(1800,1801) = 3241800

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800

Factors of 1801

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

1, 1801

Least Common Multiple of 1800 and 1801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1800 and 1801, than apply into the LCM equation.

GCF(1800,1801) = 1
LCM(1800,1801) = ( 1800 × 1801) / 1
LCM(1800,1801) = 3241800 / 1
LCM(1800,1801) = 3241800

Properties of LCM 1800 and 1801

(i) The LCM of 1801 and 1800 is associative

LCM of 1800 and 1801 = LCM of 1801 and 1800

Related Least Common Multiples of 1800

Related Least Common Multiples of 1801

Frequently Asked Questions on LCM of 1800 and 1801

1. What is the LCM of 1800 and 1801?

Answer: LCM of 1800 and 1801 is 3241800.

2. What are the Factors of 1800?

Answer: Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. There are 36 integers that are factors of 1800. The greatest factor of 1800 is 1800.

3. 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.

4. How to Find the LCM of 1800 and 1801?

Answer:

Least Common Multiple of 1800 and 1801 = 3241800

Step 1: Find the prime factorization of 1800

1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 1801

1801 = 1801

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

LCM = 3241800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 1801

Step 4: Therefore, the least common multiple of 1800 and 1801 is 3241800.