Least Common Multiple of 1822 and 1828

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 1828 the smallest integer that is 1665308 that is divisible by both numbers.

Least Common Multiple (LCM) of 1822 and 1828 is 1665308.

LCM(1822,1828) = 1665308

LCM of 1822 and 1828

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

LCM of:
and

Least Common Multiple of 1822 and 1828

LCM of 1822 and 1828 is 1665308

Least common multiple can be found by multiplying the highest exponent prime factors of 1822 and 1828. First we will calculate the prime factors of 1822 and 1828.

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 1828


2 1828
2 914
457 457
1

Prime factors of 1828 are 2,457. Prime factorization of 1828 in exponential form is:

1828 = 22×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 1822 and 1828.

LCM(1822,1828) = 22×4571×9111
LCM(1822,1828) = 1665308

Factors of 1822

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

1, 2, 911, 1822

Factors of 1828

List of positive integer factors of 1828 that divides 1828 without a remainder.

1, 2, 4, 457, 914, 1828

Least Common Multiple of 1822 and 1828 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 1828, than apply into the LCM equation.

GCF(1822,1828) = 2
LCM(1822,1828) = ( 1822 × 1828) / 2
LCM(1822,1828) = 3330616 / 2
LCM(1822,1828) = 1665308

Properties of LCM 1822 and 1828

(i) The LCM of 1828 and 1822 is associative

LCM of 1822 and 1828 = LCM of 1828 and 1822

Related Least Common Multiples of 1822

Related Least Common Multiples of 1828

Frequently Asked Questions on LCM of 1822 and 1828

1. What is the LCM of 1822 and 1828?

Answer: LCM of 1822 and 1828 is 1665308.

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 1828?

Answer: Factors of 1828 are 1, 2, 4, 457, 914, 1828. There are 6 integers that are factors of 1828. The greatest factor of 1828 is 1828.

4. How to Find the LCM of 1822 and 1828?

Answer:

Least Common Multiple of 1822 and 1828 = 1665308

Step 1: Find the prime factorization of 1822

1822 = 2 x 911

Step 2: Find the prime factorization of 1828

1828 = 2 x 2 x 457

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

LCM = 1665308 = 2 x 2 x 457 x 911

Step 4: Therefore, the least common multiple of 1822 and 1828 is 1665308.