Least Common Multiple of 4847 and 4853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4847 and 4853 the smallest integer that is 23522491 that is divisible by both numbers.

Least Common Multiple (LCM) of 4847 and 4853 is 23522491.

LCM(4847,4853) = 23522491

LCM of 4847 and 4853

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

LCM of:
and

Least Common Multiple of 4847 and 4853

LCM of 4847 and 4853 is 23522491

Least common multiple can be found by multiplying the highest exponent prime factors of 4847 and 4853. First we will calculate the prime factors of 4847 and 4853.

Prime Factorization of 4847


37 4847
131 131
1

Prime factors of 4847 are 37,131. Prime factorization of 4847 in exponential form is:

4847 = 371×1311

Prime Factorization of 4853


23 4853
211 211
1

Prime factors of 4853 are 23,211. Prime factorization of 4853 in exponential form is:

4853 = 231×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4847 and 4853.

LCM(4847,4853) = 231×371×1311×2111
LCM(4847,4853) = 23522491

Factors of 4847

List of positive integer factors of 4847 that divides 4847 without a remainder.

1, 37, 131, 4847

Factors of 4853

List of positive integer factors of 4853 that divides 4853 without a remainder.

1, 23, 211, 4853

Least Common Multiple of 4847 and 4853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4847 and 4853, than apply into the LCM equation.

GCF(4847,4853) = 1
LCM(4847,4853) = ( 4847 × 4853) / 1
LCM(4847,4853) = 23522491 / 1
LCM(4847,4853) = 23522491

Properties of LCM 4847 and 4853

(i) The LCM of 4853 and 4847 is associative

LCM of 4847 and 4853 = LCM of 4853 and 4847

Related Least Common Multiples of 4847

Related Least Common Multiples of 4853

Frequently Asked Questions on LCM of 4847 and 4853

1. What is the LCM of 4847 and 4853?

Answer: LCM of 4847 and 4853 is 23522491.

2. What are the Factors of 4847?

Answer: Factors of 4847 are 1, 37, 131, 4847. There are 4 integers that are factors of 4847. The greatest factor of 4847 is 4847.

3. What are the Factors of 4853?

Answer: Factors of 4853 are 1, 23, 211, 4853. There are 4 integers that are factors of 4853. The greatest factor of 4853 is 4853.

4. How to Find the LCM of 4847 and 4853?

Answer:

Least Common Multiple of 4847 and 4853 = 23522491

Step 1: Find the prime factorization of 4847

4847 = 37 x 131

Step 2: Find the prime factorization of 4853

4853 = 23 x 211

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

LCM = 23522491 = 23 x 37 x 131 x 211

Step 4: Therefore, the least common multiple of 4847 and 4853 is 23522491.