Least Common Multiple of 4846 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 4846 and 4853 the smallest integer that is 23517638 that is divisible by both numbers.

Least Common Multiple (LCM) of 4846 and 4853 is 23517638.

LCM(4846,4853) = 23517638

LCM of 4846 and 4853

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

LCM of:
and

Least Common Multiple of 4846 and 4853

LCM of 4846 and 4853 is 23517638

Least common multiple can be found by multiplying the highest exponent prime factors of 4846 and 4853. First we will calculate the prime factors of 4846 and 4853.

Prime Factorization of 4846


2 4846
2423 2423
1

Prime factors of 4846 are 2,2423. Prime factorization of 4846 in exponential form is:

4846 = 21×24231

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 4846 and 4853.

LCM(4846,4853) = 21×231×2111×24231
LCM(4846,4853) = 23517638

Factors of 4846

List of positive integer factors of 4846 that divides 4846 without a remainder.

1, 2, 2423, 4846

Factors of 4853

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

1, 23, 211, 4853

Least Common Multiple of 4846 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 4846 and 4853, than apply into the LCM equation.

GCF(4846,4853) = 1
LCM(4846,4853) = ( 4846 × 4853) / 1
LCM(4846,4853) = 23517638 / 1
LCM(4846,4853) = 23517638

Properties of LCM 4846 and 4853

(i) The LCM of 4853 and 4846 is associative

LCM of 4846 and 4853 = LCM of 4853 and 4846

Frequently Asked Questions on LCM of 4846 and 4853

1. What is the LCM of 4846 and 4853?

Answer: LCM of 4846 and 4853 is 23517638.

2. What are the Factors of 4846?

Answer: Factors of 4846 are 1, 2, 2423, 4846. There are 4 integers that are factors of 4846. The greatest factor of 4846 is 4846.

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 4846 and 4853?

Answer:

Least Common Multiple of 4846 and 4853 = 23517638

Step 1: Find the prime factorization of 4846

4846 = 2 x 2423

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 = 23517638 = 2 x 23 x 211 x 2423

Step 4: Therefore, the least common multiple of 4846 and 4853 is 23517638.