Least Common Multiple of 4888 and 4893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4888 and 4893 the smallest integer that is 23916984 that is divisible by both numbers.

Least Common Multiple (LCM) of 4888 and 4893 is 23916984.

LCM(4888,4893) = 23916984

LCM of 4888 and 4893

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

LCM of:
and

Least Common Multiple of 4888 and 4893

LCM of 4888 and 4893 is 23916984

Least common multiple can be found by multiplying the highest exponent prime factors of 4888 and 4893. First we will calculate the prime factors of 4888 and 4893.

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

Prime Factorization of 4893


3 4893
7 1631
233 233
1

Prime factors of 4893 are 3, 7,233. Prime factorization of 4893 in exponential form is:

4893 = 31×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4888 and 4893.

LCM(4888,4893) = 23×31×71×131×471×2331
LCM(4888,4893) = 23916984

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

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1, 3, 7, 21, 233, 699, 1631, 4893

Least Common Multiple of 4888 and 4893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4888 and 4893, than apply into the LCM equation.

GCF(4888,4893) = 1
LCM(4888,4893) = ( 4888 × 4893) / 1
LCM(4888,4893) = 23916984 / 1
LCM(4888,4893) = 23916984

Properties of LCM 4888 and 4893

(i) The LCM of 4893 and 4888 is associative

LCM of 4888 and 4893 = LCM of 4893 and 4888

Related Least Common Multiples of 4888

Related Least Common Multiples of 4893

Frequently Asked Questions on LCM of 4888 and 4893

1. What is the LCM of 4888 and 4893?

Answer: LCM of 4888 and 4893 is 23916984.

2. 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.

3. What are the Factors of 4893?

Answer: Factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893. There are 8 integers that are factors of 4893. The greatest factor of 4893 is 4893.

4. How to Find the LCM of 4888 and 4893?

Answer:

Least Common Multiple of 4888 and 4893 = 23916984

Step 1: Find the prime factorization of 4888

4888 = 2 x 2 x 2 x 13 x 47

Step 2: Find the prime factorization of 4893

4893 = 3 x 7 x 233

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

LCM = 23916984 = 2 x 2 x 2 x 3 x 7 x 13 x 47 x 233

Step 4: Therefore, the least common multiple of 4888 and 4893 is 23916984.