Least Common Multiple of 4841 and 4842

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 4842 the smallest integer that is 23440122 that is divisible by both numbers.

Least Common Multiple (LCM) of 4841 and 4842 is 23440122.

LCM(4841,4842) = 23440122

LCM of 4841 and 4842

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

LCM of:
and

Least Common Multiple of 4841 and 4842

LCM of 4841 and 4842 is 23440122

Least common multiple can be found by multiplying the highest exponent prime factors of 4841 and 4842. First we will calculate the prime factors of 4841 and 4842.

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 4842


2 4842
3 2421
3 807
269 269
1

Prime factors of 4842 are 2, 3,269. Prime factorization of 4842 in exponential form is:

4842 = 21×32×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 4841 and 4842.

LCM(4841,4842) = 21×32×471×1031×2691
LCM(4841,4842) = 23440122

Factors of 4841

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

1, 47, 103, 4841

Factors of 4842

List of positive integer factors of 4842 that divides 4842 without a remainder.

1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842

Least Common Multiple of 4841 and 4842 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 4842, than apply into the LCM equation.

GCF(4841,4842) = 1
LCM(4841,4842) = ( 4841 × 4842) / 1
LCM(4841,4842) = 23440122 / 1
LCM(4841,4842) = 23440122

Properties of LCM 4841 and 4842

(i) The LCM of 4842 and 4841 is associative

LCM of 4841 and 4842 = LCM of 4842 and 4841

Related Least Common Multiples of 4841

Related Least Common Multiples of 4842

Frequently Asked Questions on LCM of 4841 and 4842

1. What is the LCM of 4841 and 4842?

Answer: LCM of 4841 and 4842 is 23440122.

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 4842?

Answer: Factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842. There are 12 integers that are factors of 4842. The greatest factor of 4842 is 4842.

4. How to Find the LCM of 4841 and 4842?

Answer:

Least Common Multiple of 4841 and 4842 = 23440122

Step 1: Find the prime factorization of 4841

4841 = 47 x 103

Step 2: Find the prime factorization of 4842

4842 = 2 x 3 x 3 x 269

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

LCM = 23440122 = 2 x 3 x 3 x 47 x 103 x 269

Step 4: Therefore, the least common multiple of 4841 and 4842 is 23440122.