Least Common Multiple of 4843 and 4845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4843 and 4845 the smallest integer that is 23464335 that is divisible by both numbers.

Least Common Multiple (LCM) of 4843 and 4845 is 23464335.

LCM(4843,4845) = 23464335

LCM of 4843 and 4845

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

LCM of:
and

Least Common Multiple of 4843 and 4845

LCM of 4843 and 4845 is 23464335

Least common multiple can be found by multiplying the highest exponent prime factors of 4843 and 4845. First we will calculate the prime factors of 4843 and 4845.

Prime Factorization of 4843


29 4843
167 167
1

Prime factors of 4843 are 29,167. Prime factorization of 4843 in exponential form is:

4843 = 291×1671

Prime Factorization of 4845


3 4845
5 1615
17 323
19 19
1

Prime factors of 4845 are 3, 5, 17,19. Prime factorization of 4845 in exponential form is:

4845 = 31×51×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4843 and 4845.

LCM(4843,4845) = 31×51×171×191×291×1671
LCM(4843,4845) = 23464335

Factors of 4843

List of positive integer factors of 4843 that divides 4843 without a remainder.

1, 29, 167, 4843

Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845

Least Common Multiple of 4843 and 4845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4843 and 4845, than apply into the LCM equation.

GCF(4843,4845) = 1
LCM(4843,4845) = ( 4843 × 4845) / 1
LCM(4843,4845) = 23464335 / 1
LCM(4843,4845) = 23464335

Properties of LCM 4843 and 4845

(i) The LCM of 4845 and 4843 is associative

LCM of 4843 and 4845 = LCM of 4845 and 4843

Related Least Common Multiples of 4843

Related Least Common Multiples of 4845

Frequently Asked Questions on LCM of 4843 and 4845

1. What is the LCM of 4843 and 4845?

Answer: LCM of 4843 and 4845 is 23464335.

2. What are the Factors of 4843?

Answer: Factors of 4843 are 1, 29, 167, 4843. There are 4 integers that are factors of 4843. The greatest factor of 4843 is 4843.

3. What are the Factors of 4845?

Answer: Factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845. There are 16 integers that are factors of 4845. The greatest factor of 4845 is 4845.

4. How to Find the LCM of 4843 and 4845?

Answer:

Least Common Multiple of 4843 and 4845 = 23464335

Step 1: Find the prime factorization of 4843

4843 = 29 x 167

Step 2: Find the prime factorization of 4845

4845 = 3 x 5 x 17 x 19

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

LCM = 23464335 = 3 x 5 x 17 x 19 x 29 x 167

Step 4: Therefore, the least common multiple of 4843 and 4845 is 23464335.