Least Common Multiple of 4835 and 4838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4835 and 4838 the smallest integer that is 23391730 that is divisible by both numbers.

Least Common Multiple (LCM) of 4835 and 4838 is 23391730.

LCM(4835,4838) = 23391730

LCM of 4835 and 4838

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

LCM of:
and

Least Common Multiple of 4835 and 4838

LCM of 4835 and 4838 is 23391730

Least common multiple can be found by multiplying the highest exponent prime factors of 4835 and 4838. First we will calculate the prime factors of 4835 and 4838.

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

Prime Factorization of 4838


2 4838
41 2419
59 59
1

Prime factors of 4838 are 2, 41,59. Prime factorization of 4838 in exponential form is:

4838 = 21×411×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4835 and 4838.

LCM(4835,4838) = 21×51×411×591×9671
LCM(4835,4838) = 23391730

Factors of 4835

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

1, 5, 967, 4835

Factors of 4838

List of positive integer factors of 4838 that divides 4838 without a remainder.

1, 2, 41, 59, 82, 118, 2419, 4838

Least Common Multiple of 4835 and 4838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4835 and 4838, than apply into the LCM equation.

GCF(4835,4838) = 1
LCM(4835,4838) = ( 4835 × 4838) / 1
LCM(4835,4838) = 23391730 / 1
LCM(4835,4838) = 23391730

Properties of LCM 4835 and 4838

(i) The LCM of 4838 and 4835 is associative

LCM of 4835 and 4838 = LCM of 4838 and 4835

Related Least Common Multiples of 4835

Related Least Common Multiples of 4838

Frequently Asked Questions on LCM of 4835 and 4838

1. What is the LCM of 4835 and 4838?

Answer: LCM of 4835 and 4838 is 23391730.

2. 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.

3. What are the Factors of 4838?

Answer: Factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838. There are 8 integers that are factors of 4838. The greatest factor of 4838 is 4838.

4. How to Find the LCM of 4835 and 4838?

Answer:

Least Common Multiple of 4835 and 4838 = 23391730

Step 1: Find the prime factorization of 4835

4835 = 5 x 967

Step 2: Find the prime factorization of 4838

4838 = 2 x 41 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 = 23391730 = 2 x 5 x 41 x 59 x 967

Step 4: Therefore, the least common multiple of 4835 and 4838 is 23391730.