Least Common Multiple of 4841 and 4844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4841 and 4844 the smallest integer that is 23449804 that is divisible by both numbers.

Least Common Multiple (LCM) of 4841 and 4844 is 23449804.

LCM(4841,4844) = 23449804

LCM of 4841 and 4844

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

LCM of:
and

Least Common Multiple of 4841 and 4844

LCM of 4841 and 4844 is 23449804

Least common multiple can be found by multiplying the highest exponent prime factors of 4841 and 4844. First we will calculate the prime factors of 4841 and 4844.

Prime Factorization of 4841


47 4841
103 103
1

Prime factors of 4841 are 47,103. Prime factorization of 4841 in exponential form is:

4841 = 471×1031

Prime Factorization of 4844


2 4844
2 2422
7 1211
173 173
1

Prime factors of 4844 are 2, 7,173. Prime factorization of 4844 in exponential form is:

4844 = 22×71×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4841 and 4844.

LCM(4841,4844) = 22×71×471×1031×1731
LCM(4841,4844) = 23449804

Factors of 4841

List of positive integer factors of 4841 that divides 4841 without a remainder.

1, 47, 103, 4841

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844

Least Common Multiple of 4841 and 4844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4841 and 4844, than apply into the LCM equation.

GCF(4841,4844) = 1
LCM(4841,4844) = ( 4841 × 4844) / 1
LCM(4841,4844) = 23449804 / 1
LCM(4841,4844) = 23449804

Properties of LCM 4841 and 4844

(i) The LCM of 4844 and 4841 is associative

LCM of 4841 and 4844 = LCM of 4844 and 4841

Related Least Common Multiples of 4841

Related Least Common Multiples of 4844

Frequently Asked Questions on LCM of 4841 and 4844

1. What is the LCM of 4841 and 4844?

Answer: LCM of 4841 and 4844 is 23449804.

2. What are the Factors of 4841?

Answer: Factors of 4841 are 1, 47, 103, 4841. There are 4 integers that are factors of 4841. The greatest factor of 4841 is 4841.

3. What are the Factors of 4844?

Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.

4. How to Find the LCM of 4841 and 4844?

Answer:

Least Common Multiple of 4841 and 4844 = 23449804

Step 1: Find the prime factorization of 4841

4841 = 47 x 103

Step 2: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

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

LCM = 23449804 = 2 x 2 x 7 x 47 x 103 x 173

Step 4: Therefore, the least common multiple of 4841 and 4844 is 23449804.