Least Common Multiple of 4873 and 4880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4873 and 4880 the smallest integer that is 23780240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4873 and 4880 is 23780240.

LCM(4873,4880) = 23780240

LCM of 4873 and 4880

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

LCM of:
and

Least Common Multiple of 4873 and 4880

LCM of 4873 and 4880 is 23780240

Least common multiple can be found by multiplying the highest exponent prime factors of 4873 and 4880. First we will calculate the prime factors of 4873 and 4880.

Prime Factorization of 4873


11 4873
443 443
1

Prime factors of 4873 are 11,443. Prime factorization of 4873 in exponential form is:

4873 = 111×4431

Prime Factorization of 4880


2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 4880 are 2, 5,61. Prime factorization of 4880 in exponential form is:

4880 = 24×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4873 and 4880.

LCM(4873,4880) = 24×51×111×611×4431
LCM(4873,4880) = 23780240

Factors of 4873

List of positive integer factors of 4873 that divides 4873 without a remainder.

1, 11, 443, 4873

Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880

Least Common Multiple of 4873 and 4880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4873 and 4880, than apply into the LCM equation.

GCF(4873,4880) = 1
LCM(4873,4880) = ( 4873 × 4880) / 1
LCM(4873,4880) = 23780240 / 1
LCM(4873,4880) = 23780240

Properties of LCM 4873 and 4880

(i) The LCM of 4880 and 4873 is associative

LCM of 4873 and 4880 = LCM of 4880 and 4873

Related Least Common Multiples of 4873

Related Least Common Multiples of 4880

Frequently Asked Questions on LCM of 4873 and 4880

1. What is the LCM of 4873 and 4880?

Answer: LCM of 4873 and 4880 is 23780240.

2. What are the Factors of 4873?

Answer: Factors of 4873 are 1, 11, 443, 4873. There are 4 integers that are factors of 4873. The greatest factor of 4873 is 4873.

3. What are the Factors of 4880?

Answer: Factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880. There are 20 integers that are factors of 4880. The greatest factor of 4880 is 4880.

4. How to Find the LCM of 4873 and 4880?

Answer:

Least Common Multiple of 4873 and 4880 = 23780240

Step 1: Find the prime factorization of 4873

4873 = 11 x 443

Step 2: Find the prime factorization of 4880

4880 = 2 x 2 x 2 x 2 x 5 x 61

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

LCM = 23780240 = 2 x 2 x 2 x 2 x 5 x 11 x 61 x 443

Step 4: Therefore, the least common multiple of 4873 and 4880 is 23780240.