Least Common Multiple of 4838 and 4846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4838 and 4846 the smallest integer that is 11722474 that is divisible by both numbers.

Least Common Multiple (LCM) of 4838 and 4846 is 11722474.

LCM(4838,4846) = 11722474

LCM of 4838 and 4846

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

LCM of:
and

Least Common Multiple of 4838 and 4846

LCM of 4838 and 4846 is 11722474

Least common multiple can be found by multiplying the highest exponent prime factors of 4838 and 4846. First we will calculate the prime factors of 4838 and 4846.

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

Prime Factorization of 4846


2 4846
2423 2423
1

Prime factors of 4846 are 2,2423. Prime factorization of 4846 in exponential form is:

4846 = 21×24231

Now multiplying the highest exponent prime factors to calculate the LCM of 4838 and 4846.

LCM(4838,4846) = 21×411×591×24231
LCM(4838,4846) = 11722474

Factors of 4838

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

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

Factors of 4846

List of positive integer factors of 4846 that divides 4846 without a remainder.

1, 2, 2423, 4846

Least Common Multiple of 4838 and 4846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4838 and 4846, than apply into the LCM equation.

GCF(4838,4846) = 2
LCM(4838,4846) = ( 4838 × 4846) / 2
LCM(4838,4846) = 23444948 / 2
LCM(4838,4846) = 11722474

Properties of LCM 4838 and 4846

(i) The LCM of 4846 and 4838 is associative

LCM of 4838 and 4846 = LCM of 4846 and 4838

Related Least Common Multiples of 4838

Related Least Common Multiples of 4846

Frequently Asked Questions on LCM of 4838 and 4846

1. What is the LCM of 4838 and 4846?

Answer: LCM of 4838 and 4846 is 11722474.

2. 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.

3. What are the Factors of 4846?

Answer: Factors of 4846 are 1, 2, 2423, 4846. There are 4 integers that are factors of 4846. The greatest factor of 4846 is 4846.

4. How to Find the LCM of 4838 and 4846?

Answer:

Least Common Multiple of 4838 and 4846 = 11722474

Step 1: Find the prime factorization of 4838

4838 = 2 x 41 x 59

Step 2: Find the prime factorization of 4846

4846 = 2 x 2423

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

LCM = 11722474 = 2 x 41 x 59 x 2423

Step 4: Therefore, the least common multiple of 4838 and 4846 is 11722474.