Least Common Multiple of 4822 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 4822 and 4829 the smallest integer that is 23285438 that is divisible by both numbers.

Least Common Multiple (LCM) of 4822 and 4829 is 23285438.

LCM(4822,4829) = 23285438

LCM of 4822 and 4829

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

LCM of:
and

Least Common Multiple of 4822 and 4829

LCM of 4822 and 4829 is 23285438

Least common multiple can be found by multiplying the highest exponent prime factors of 4822 and 4829. First we will calculate the prime factors of 4822 and 4829.

Prime Factorization of 4822


2 4822
2411 2411
1

Prime factors of 4822 are 2,2411. Prime factorization of 4822 in exponential form is:

4822 = 21×24111

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 4822 and 4829.

LCM(4822,4829) = 21×111×4391×24111
LCM(4822,4829) = 23285438

Factors of 4822

List of positive integer factors of 4822 that divides 4822 without a remainder.

1, 2, 2411, 4822

Factors of 4829

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

1, 11, 439, 4829

Least Common Multiple of 4822 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 4822 and 4829, than apply into the LCM equation.

GCF(4822,4829) = 1
LCM(4822,4829) = ( 4822 × 4829) / 1
LCM(4822,4829) = 23285438 / 1
LCM(4822,4829) = 23285438

Properties of LCM 4822 and 4829

(i) The LCM of 4829 and 4822 is associative

LCM of 4822 and 4829 = LCM of 4829 and 4822

Related Least Common Multiples of 4822

Related Least Common Multiples of 4829

Frequently Asked Questions on LCM of 4822 and 4829

1. What is the LCM of 4822 and 4829?

Answer: LCM of 4822 and 4829 is 23285438.

2. What are the Factors of 4822?

Answer: Factors of 4822 are 1, 2, 2411, 4822. There are 4 integers that are factors of 4822. The greatest factor of 4822 is 4822.

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 4822 and 4829?

Answer:

Least Common Multiple of 4822 and 4829 = 23285438

Step 1: Find the prime factorization of 4822

4822 = 2 x 2411

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 = 23285438 = 2 x 11 x 439 x 2411

Step 4: Therefore, the least common multiple of 4822 and 4829 is 23285438.