Least Common Multiple of 4883 and 4888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4883 and 4888 the smallest integer that is 23868104 that is divisible by both numbers.

Least Common Multiple (LCM) of 4883 and 4888 is 23868104.

LCM(4883,4888) = 23868104

LCM of 4883 and 4888

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

LCM of:
and

Least Common Multiple of 4883 and 4888

LCM of 4883 and 4888 is 23868104

Least common multiple can be found by multiplying the highest exponent prime factors of 4883 and 4888. First we will calculate the prime factors of 4883 and 4888.

Prime Factorization of 4883


19 4883
257 257
1

Prime factors of 4883 are 19,257. Prime factorization of 4883 in exponential form is:

4883 = 191×2571

Prime Factorization of 4888


2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 4888 are 2, 13,47. Prime factorization of 4888 in exponential form is:

4888 = 23×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4883 and 4888.

LCM(4883,4888) = 23×131×191×471×2571
LCM(4883,4888) = 23868104

Factors of 4883

List of positive integer factors of 4883 that divides 4883 without a remainder.

1, 19, 257, 4883

Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888

Least Common Multiple of 4883 and 4888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4883 and 4888, than apply into the LCM equation.

GCF(4883,4888) = 1
LCM(4883,4888) = ( 4883 × 4888) / 1
LCM(4883,4888) = 23868104 / 1
LCM(4883,4888) = 23868104

Properties of LCM 4883 and 4888

(i) The LCM of 4888 and 4883 is associative

LCM of 4883 and 4888 = LCM of 4888 and 4883

Related Least Common Multiples of 4883

Related Least Common Multiples of 4888

Frequently Asked Questions on LCM of 4883 and 4888

1. What is the LCM of 4883 and 4888?

Answer: LCM of 4883 and 4888 is 23868104.

2. What are the Factors of 4883?

Answer: Factors of 4883 are 1, 19, 257, 4883. There are 4 integers that are factors of 4883. The greatest factor of 4883 is 4883.

3. What are the Factors of 4888?

Answer: Factors of 4888 are 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888. There are 16 integers that are factors of 4888. The greatest factor of 4888 is 4888.

4. How to Find the LCM of 4883 and 4888?

Answer:

Least Common Multiple of 4883 and 4888 = 23868104

Step 1: Find the prime factorization of 4883

4883 = 19 x 257

Step 2: Find the prime factorization of 4888

4888 = 2 x 2 x 2 x 13 x 47

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

LCM = 23868104 = 2 x 2 x 2 x 13 x 19 x 47 x 257

Step 4: Therefore, the least common multiple of 4883 and 4888 is 23868104.