Least Common Multiple of 1824 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 1824 and 1829 the smallest integer that is 3336096 that is divisible by both numbers.

Least Common Multiple (LCM) of 1824 and 1829 is 3336096.

LCM(1824,1829) = 3336096

LCM of 1824 and 1829

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

LCM of:
and

Least Common Multiple of 1824 and 1829

LCM of 1824 and 1829 is 3336096

Least common multiple can be found by multiplying the highest exponent prime factors of 1824 and 1829. First we will calculate the prime factors of 1824 and 1829.

Prime Factorization of 1824


2 1824
2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 1824 are 2, 3,19. Prime factorization of 1824 in exponential form is:

1824 = 25×31×191

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 1824 and 1829.

LCM(1824,1829) = 25×31×191×311×591
LCM(1824,1829) = 3336096

Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824

Factors of 1829

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

1, 31, 59, 1829

Least Common Multiple of 1824 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 1824 and 1829, than apply into the LCM equation.

GCF(1824,1829) = 1
LCM(1824,1829) = ( 1824 × 1829) / 1
LCM(1824,1829) = 3336096 / 1
LCM(1824,1829) = 3336096

Properties of LCM 1824 and 1829

(i) The LCM of 1829 and 1824 is associative

LCM of 1824 and 1829 = LCM of 1829 and 1824

Related Least Common Multiples of 1824

Related Least Common Multiples of 1829

Frequently Asked Questions on LCM of 1824 and 1829

1. What is the LCM of 1824 and 1829?

Answer: LCM of 1824 and 1829 is 3336096.

2. What are the Factors of 1824?

Answer: Factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824. There are 24 integers that are factors of 1824. The greatest factor of 1824 is 1824.

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 1824 and 1829?

Answer:

Least Common Multiple of 1824 and 1829 = 3336096

Step 1: Find the prime factorization of 1824

1824 = 2 x 2 x 2 x 2 x 2 x 3 x 19

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 = 3336096 = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 31 x 59

Step 4: Therefore, the least common multiple of 1824 and 1829 is 3336096.