Least Common Multiple of 4828 and 4835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4828 and 4835 the smallest integer that is 23343380 that is divisible by both numbers.

Least Common Multiple (LCM) of 4828 and 4835 is 23343380.

LCM(4828,4835) = 23343380

LCM of 4828 and 4835

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

LCM of:
and

Least Common Multiple of 4828 and 4835

LCM of 4828 and 4835 is 23343380

Least common multiple can be found by multiplying the highest exponent prime factors of 4828 and 4835. First we will calculate the prime factors of 4828 and 4835.

Prime Factorization of 4828


2 4828
2 2414
17 1207
71 71
1

Prime factors of 4828 are 2, 17,71. Prime factorization of 4828 in exponential form is:

4828 = 22×171×711

Prime Factorization of 4835


5 4835
967 967
1

Prime factors of 4835 are 5,967. Prime factorization of 4835 in exponential form is:

4835 = 51×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 4828 and 4835.

LCM(4828,4835) = 22×51×171×711×9671
LCM(4828,4835) = 23343380

Factors of 4828

List of positive integer factors of 4828 that divides 4828 without a remainder.

1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828

Factors of 4835

List of positive integer factors of 4835 that divides 4835 without a remainder.

1, 5, 967, 4835

Least Common Multiple of 4828 and 4835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4828 and 4835, than apply into the LCM equation.

GCF(4828,4835) = 1
LCM(4828,4835) = ( 4828 × 4835) / 1
LCM(4828,4835) = 23343380 / 1
LCM(4828,4835) = 23343380

Properties of LCM 4828 and 4835

(i) The LCM of 4835 and 4828 is associative

LCM of 4828 and 4835 = LCM of 4835 and 4828

Related Least Common Multiples of 4828

Related Least Common Multiples of 4835

Frequently Asked Questions on LCM of 4828 and 4835

1. What is the LCM of 4828 and 4835?

Answer: LCM of 4828 and 4835 is 23343380.

2. What are the Factors of 4828?

Answer: Factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828. There are 12 integers that are factors of 4828. The greatest factor of 4828 is 4828.

3. What are the Factors of 4835?

Answer: Factors of 4835 are 1, 5, 967, 4835. There are 4 integers that are factors of 4835. The greatest factor of 4835 is 4835.

4. How to Find the LCM of 4828 and 4835?

Answer:

Least Common Multiple of 4828 and 4835 = 23343380

Step 1: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 4835

4835 = 5 x 967

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

LCM = 23343380 = 2 x 2 x 5 x 17 x 71 x 967

Step 4: Therefore, the least common multiple of 4828 and 4835 is 23343380.