Least Common Multiple of 4853 and 4860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4853 and 4860 the smallest integer that is 23585580 that is divisible by both numbers.

Least Common Multiple (LCM) of 4853 and 4860 is 23585580.

LCM(4853,4860) = 23585580

LCM of 4853 and 4860

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

LCM of:
and

Least Common Multiple of 4853 and 4860

LCM of 4853 and 4860 is 23585580

Least common multiple can be found by multiplying the highest exponent prime factors of 4853 and 4860. First we will calculate the prime factors of 4853 and 4860.

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

Prime Factorization of 4860


2 4860
2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 4860 are 2, 3,5. Prime factorization of 4860 in exponential form is:

4860 = 22×35×51

Now multiplying the highest exponent prime factors to calculate the LCM of 4853 and 4860.

LCM(4853,4860) = 22×35×51×231×2111
LCM(4853,4860) = 23585580

Factors of 4853

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

1, 23, 211, 4853

Factors of 4860

List of positive integer factors of 4860 that divides 4860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860

Least Common Multiple of 4853 and 4860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4853 and 4860, than apply into the LCM equation.

GCF(4853,4860) = 1
LCM(4853,4860) = ( 4853 × 4860) / 1
LCM(4853,4860) = 23585580 / 1
LCM(4853,4860) = 23585580

Properties of LCM 4853 and 4860

(i) The LCM of 4860 and 4853 is associative

LCM of 4853 and 4860 = LCM of 4860 and 4853

Related Least Common Multiples of 4853

Related Least Common Multiples of 4860

Frequently Asked Questions on LCM of 4853 and 4860

1. What is the LCM of 4853 and 4860?

Answer: LCM of 4853 and 4860 is 23585580.

2. 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.

3. What are the Factors of 4860?

Answer: Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860. There are 36 integers that are factors of 4860. The greatest factor of 4860 is 4860.

4. How to Find the LCM of 4853 and 4860?

Answer:

Least Common Multiple of 4853 and 4860 = 23585580

Step 1: Find the prime factorization of 4853

4853 = 23 x 211

Step 2: Find the prime factorization of 4860

4860 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5

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

LCM = 23585580 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 23 x 211

Step 4: Therefore, the least common multiple of 4853 and 4860 is 23585580.