Least Common Multiple of 1808 and 1811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1808 and 1811 the smallest integer that is 3274288 that is divisible by both numbers.

Least Common Multiple (LCM) of 1808 and 1811 is 3274288.

LCM(1808,1811) = 3274288

LCM of 1808 and 1811

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

LCM of:
and

Least Common Multiple of 1808 and 1811

LCM of 1808 and 1811 is 3274288

Least common multiple can be found by multiplying the highest exponent prime factors of 1808 and 1811. First we will calculate the prime factors of 1808 and 1811.

Prime Factorization of 1808


2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 1808 are 2,113. Prime factorization of 1808 in exponential form is:

1808 = 24×1131

Prime Factorization of 1811


1811 1811
1

Prime factors of 1811 are 1811. Prime factorization of 1811 in exponential form is:

1811 = 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 1808 and 1811.

LCM(1808,1811) = 24×1131×18111
LCM(1808,1811) = 3274288

Factors of 1808

List of positive integer factors of 1808 that divides 1808 without a remainder.

1, 2, 4, 8, 16, 113, 226, 452, 904, 1808

Factors of 1811

List of positive integer factors of 1811 that divides 1811 without a remainder.

1, 1811

Least Common Multiple of 1808 and 1811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1808 and 1811, than apply into the LCM equation.

GCF(1808,1811) = 1
LCM(1808,1811) = ( 1808 × 1811) / 1
LCM(1808,1811) = 3274288 / 1
LCM(1808,1811) = 3274288

Properties of LCM 1808 and 1811

(i) The LCM of 1811 and 1808 is associative

LCM of 1808 and 1811 = LCM of 1811 and 1808

Related Least Common Multiples of 1808

Related Least Common Multiples of 1811

Frequently Asked Questions on LCM of 1808 and 1811

1. What is the LCM of 1808 and 1811?

Answer: LCM of 1808 and 1811 is 3274288.

2. What are the Factors of 1808?

Answer: Factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808. There are 10 integers that are factors of 1808. The greatest factor of 1808 is 1808.

3. What are the Factors of 1811?

Answer: Factors of 1811 are 1, 1811. There are 2 integers that are factors of 1811. The greatest factor of 1811 is 1811.

4. How to Find the LCM of 1808 and 1811?

Answer:

Least Common Multiple of 1808 and 1811 = 3274288

Step 1: Find the prime factorization of 1808

1808 = 2 x 2 x 2 x 2 x 113

Step 2: Find the prime factorization of 1811

1811 = 1811

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

LCM = 3274288 = 2 x 2 x 2 x 2 x 113 x 1811

Step 4: Therefore, the least common multiple of 1808 and 1811 is 3274288.