Least Common Multiple of 1822 and 1827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1822 and 1827 the smallest integer that is 3328794 that is divisible by both numbers.

Least Common Multiple (LCM) of 1822 and 1827 is 3328794.

LCM(1822,1827) = 3328794

LCM of 1822 and 1827

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

LCM of:
and

Least Common Multiple of 1822 and 1827

LCM of 1822 and 1827 is 3328794

Least common multiple can be found by multiplying the highest exponent prime factors of 1822 and 1827. First we will calculate the prime factors of 1822 and 1827.

Prime Factorization of 1822


2 1822
911 911
1

Prime factors of 1822 are 2,911. Prime factorization of 1822 in exponential form is:

1822 = 21×9111

Prime Factorization of 1827


3 1827
3 609
7 203
29 29
1

Prime factors of 1827 are 3, 7,29. Prime factorization of 1827 in exponential form is:

1827 = 32×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1822 and 1827.

LCM(1822,1827) = 21×32×71×291×9111
LCM(1822,1827) = 3328794

Factors of 1822

List of positive integer factors of 1822 that divides 1822 without a remainder.

1, 2, 911, 1822

Factors of 1827

List of positive integer factors of 1827 that divides 1827 without a remainder.

1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827

Least Common Multiple of 1822 and 1827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1822 and 1827, than apply into the LCM equation.

GCF(1822,1827) = 1
LCM(1822,1827) = ( 1822 × 1827) / 1
LCM(1822,1827) = 3328794 / 1
LCM(1822,1827) = 3328794

Properties of LCM 1822 and 1827

(i) The LCM of 1827 and 1822 is associative

LCM of 1822 and 1827 = LCM of 1827 and 1822

Related Least Common Multiples of 1822

Related Least Common Multiples of 1827

Frequently Asked Questions on LCM of 1822 and 1827

1. What is the LCM of 1822 and 1827?

Answer: LCM of 1822 and 1827 is 3328794.

2. What are the Factors of 1822?

Answer: Factors of 1822 are 1, 2, 911, 1822. There are 4 integers that are factors of 1822. The greatest factor of 1822 is 1822.

3. What are the Factors of 1827?

Answer: Factors of 1827 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827. There are 12 integers that are factors of 1827. The greatest factor of 1827 is 1827.

4. How to Find the LCM of 1822 and 1827?

Answer:

Least Common Multiple of 1822 and 1827 = 3328794

Step 1: Find the prime factorization of 1822

1822 = 2 x 911

Step 2: Find the prime factorization of 1827

1827 = 3 x 3 x 7 x 29

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

LCM = 3328794 = 2 x 3 x 3 x 7 x 29 x 911

Step 4: Therefore, the least common multiple of 1822 and 1827 is 3328794.