Least Common Multiple of 4843 and 4849

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 4849 the smallest integer that is 23483707 that is divisible by both numbers.

Least Common Multiple (LCM) of 4843 and 4849 is 23483707.

LCM(4843,4849) = 23483707

LCM of 4843 and 4849

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

LCM of:
and

Least Common Multiple of 4843 and 4849

LCM of 4843 and 4849 is 23483707

Least common multiple can be found by multiplying the highest exponent prime factors of 4843 and 4849. First we will calculate the prime factors of 4843 and 4849.

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 4849


13 4849
373 373
1

Prime factors of 4849 are 13,373. Prime factorization of 4849 in exponential form is:

4849 = 131×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 4843 and 4849.

LCM(4843,4849) = 131×291×1671×3731
LCM(4843,4849) = 23483707

Factors of 4843

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

1, 29, 167, 4843

Factors of 4849

List of positive integer factors of 4849 that divides 4849 without a remainder.

1, 13, 373, 4849

Least Common Multiple of 4843 and 4849 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 4849, than apply into the LCM equation.

GCF(4843,4849) = 1
LCM(4843,4849) = ( 4843 × 4849) / 1
LCM(4843,4849) = 23483707 / 1
LCM(4843,4849) = 23483707

Properties of LCM 4843 and 4849

(i) The LCM of 4849 and 4843 is associative

LCM of 4843 and 4849 = LCM of 4849 and 4843

Related Least Common Multiples of 4843

Related Least Common Multiples of 4849

Frequently Asked Questions on LCM of 4843 and 4849

1. What is the LCM of 4843 and 4849?

Answer: LCM of 4843 and 4849 is 23483707.

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 4849?

Answer: Factors of 4849 are 1, 13, 373, 4849. There are 4 integers that are factors of 4849. The greatest factor of 4849 is 4849.

4. How to Find the LCM of 4843 and 4849?

Answer:

Least Common Multiple of 4843 and 4849 = 23483707

Step 1: Find the prime factorization of 4843

4843 = 29 x 167

Step 2: Find the prime factorization of 4849

4849 = 13 x 373

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

LCM = 23483707 = 13 x 29 x 167 x 373

Step 4: Therefore, the least common multiple of 4843 and 4849 is 23483707.