Least Common Multiple of 4824 and 4829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4824 and 4829 the smallest integer that is 23295096 that is divisible by both numbers.

Least Common Multiple (LCM) of 4824 and 4829 is 23295096.

LCM(4824,4829) = 23295096

LCM of 4824 and 4829

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

LCM of:
and

Least Common Multiple of 4824 and 4829

LCM of 4824 and 4829 is 23295096

Least common multiple can be found by multiplying the highest exponent prime factors of 4824 and 4829. First we will calculate the prime factors of 4824 and 4829.

Prime Factorization of 4824


2 4824
2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 4824 are 2, 3,67. Prime factorization of 4824 in exponential form is:

4824 = 23×32×671

Prime Factorization of 4829


11 4829
439 439
1

Prime factors of 4829 are 11,439. Prime factorization of 4829 in exponential form is:

4829 = 111×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 4824 and 4829.

LCM(4824,4829) = 23×32×111×671×4391
LCM(4824,4829) = 23295096

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824

Factors of 4829

List of positive integer factors of 4829 that divides 4829 without a remainder.

1, 11, 439, 4829

Least Common Multiple of 4824 and 4829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4824 and 4829, than apply into the LCM equation.

GCF(4824,4829) = 1
LCM(4824,4829) = ( 4824 × 4829) / 1
LCM(4824,4829) = 23295096 / 1
LCM(4824,4829) = 23295096

Properties of LCM 4824 and 4829

(i) The LCM of 4829 and 4824 is associative

LCM of 4824 and 4829 = LCM of 4829 and 4824

Related Least Common Multiples of 4824

Related Least Common Multiples of 4829

Frequently Asked Questions on LCM of 4824 and 4829

1. What is the LCM of 4824 and 4829?

Answer: LCM of 4824 and 4829 is 23295096.

2. What are the Factors of 4824?

Answer: Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. There are 24 integers that are factors of 4824. The greatest factor of 4824 is 4824.

3. What are the Factors of 4829?

Answer: Factors of 4829 are 1, 11, 439, 4829. There are 4 integers that are factors of 4829. The greatest factor of 4829 is 4829.

4. How to Find the LCM of 4824 and 4829?

Answer:

Least Common Multiple of 4824 and 4829 = 23295096

Step 1: Find the prime factorization of 4824

4824 = 2 x 2 x 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 4829

4829 = 11 x 439

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

LCM = 23295096 = 2 x 2 x 2 x 3 x 3 x 11 x 67 x 439

Step 4: Therefore, the least common multiple of 4824 and 4829 is 23295096.