Least Common Multiple of 1822 and 1829

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 1829 the smallest integer that is 3332438 that is divisible by both numbers.

Least Common Multiple (LCM) of 1822 and 1829 is 3332438.

LCM(1822,1829) = 3332438

LCM of 1822 and 1829

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

LCM of:
and

Least Common Multiple of 1822 and 1829

LCM of 1822 and 1829 is 3332438

Least common multiple can be found by multiplying the highest exponent prime factors of 1822 and 1829. First we will calculate the prime factors of 1822 and 1829.

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 1829


31 1829
59 59
1

Prime factors of 1829 are 31,59. Prime factorization of 1829 in exponential form is:

1829 = 311×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1822 and 1829.

LCM(1822,1829) = 21×311×591×9111
LCM(1822,1829) = 3332438

Factors of 1822

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

1, 2, 911, 1822

Factors of 1829

List of positive integer factors of 1829 that divides 1829 without a remainder.

1, 31, 59, 1829

Least Common Multiple of 1822 and 1829 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 1829, than apply into the LCM equation.

GCF(1822,1829) = 1
LCM(1822,1829) = ( 1822 × 1829) / 1
LCM(1822,1829) = 3332438 / 1
LCM(1822,1829) = 3332438

Properties of LCM 1822 and 1829

(i) The LCM of 1829 and 1822 is associative

LCM of 1822 and 1829 = LCM of 1829 and 1822

Related Least Common Multiples of 1822

Related Least Common Multiples of 1829

Frequently Asked Questions on LCM of 1822 and 1829

1. What is the LCM of 1822 and 1829?

Answer: LCM of 1822 and 1829 is 3332438.

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 1829?

Answer: Factors of 1829 are 1, 31, 59, 1829. There are 4 integers that are factors of 1829. The greatest factor of 1829 is 1829.

4. How to Find the LCM of 1822 and 1829?

Answer:

Least Common Multiple of 1822 and 1829 = 3332438

Step 1: Find the prime factorization of 1822

1822 = 2 x 911

Step 2: Find the prime factorization of 1829

1829 = 31 x 59

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

LCM = 3332438 = 2 x 31 x 59 x 911

Step 4: Therefore, the least common multiple of 1822 and 1829 is 3332438.