Least Common Multiple of 7824 and 7829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7824 and 7829 the smallest integer that is 61254096 that is divisible by both numbers.

Least Common Multiple (LCM) of 7824 and 7829 is 61254096.

LCM(7824,7829) = 61254096

LCM of 7824 and 7829

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

LCM of:
and

Least Common Multiple of 7824 and 7829

LCM of 7824 and 7829 is 61254096

Least common multiple can be found by multiplying the highest exponent prime factors of 7824 and 7829. First we will calculate the prime factors of 7824 and 7829.

Prime Factorization of 7824


2 7824
2 3912
2 1956
2 978
3 489
163 163
1

Prime factors of 7824 are 2, 3,163. Prime factorization of 7824 in exponential form is:

7824 = 24×31×1631

Prime Factorization of 7829


7829 7829
1

Prime factors of 7829 are 7829. Prime factorization of 7829 in exponential form is:

7829 = 78291

Now multiplying the highest exponent prime factors to calculate the LCM of 7824 and 7829.

LCM(7824,7829) = 24×31×1631×78291
LCM(7824,7829) = 61254096

Factors of 7824

List of positive integer factors of 7824 that divides 7824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824

Factors of 7829

List of positive integer factors of 7829 that divides 7829 without a remainder.

1, 7829

Least Common Multiple of 7824 and 7829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7824 and 7829, than apply into the LCM equation.

GCF(7824,7829) = 1
LCM(7824,7829) = ( 7824 × 7829) / 1
LCM(7824,7829) = 61254096 / 1
LCM(7824,7829) = 61254096

Properties of LCM 7824 and 7829

(i) The LCM of 7829 and 7824 is associative

LCM of 7824 and 7829 = LCM of 7829 and 7824

Related Least Common Multiples of 7824

Related Least Common Multiples of 7829

Frequently Asked Questions on LCM of 7824 and 7829

1. What is the LCM of 7824 and 7829?

Answer: LCM of 7824 and 7829 is 61254096.

2. What are the Factors of 7824?

Answer: Factors of 7824 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824. There are 20 integers that are factors of 7824. The greatest factor of 7824 is 7824.

3. What are the Factors of 7829?

Answer: Factors of 7829 are 1, 7829. There are 2 integers that are factors of 7829. The greatest factor of 7829 is 7829.

4. How to Find the LCM of 7824 and 7829?

Answer:

Least Common Multiple of 7824 and 7829 = 61254096

Step 1: Find the prime factorization of 7824

7824 = 2 x 2 x 2 x 2 x 3 x 163

Step 2: Find the prime factorization of 7829

7829 = 7829

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

LCM = 61254096 = 2 x 2 x 2 x 2 x 3 x 163 x 7829

Step 4: Therefore, the least common multiple of 7824 and 7829 is 61254096.