Least Common Multiple of 4881 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 4881 and 4888 the smallest integer that is 23858328 that is divisible by both numbers.

Least Common Multiple (LCM) of 4881 and 4888 is 23858328.

LCM(4881,4888) = 23858328

LCM of 4881 and 4888

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

LCM of:
and

Least Common Multiple of 4881 and 4888

LCM of 4881 and 4888 is 23858328

Least common multiple can be found by multiplying the highest exponent prime factors of 4881 and 4888. First we will calculate the prime factors of 4881 and 4888.

Prime Factorization of 4881


3 4881
1627 1627
1

Prime factors of 4881 are 3,1627. Prime factorization of 4881 in exponential form is:

4881 = 31×16271

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 4881 and 4888.

LCM(4881,4888) = 23×31×131×471×16271
LCM(4881,4888) = 23858328

Factors of 4881

List of positive integer factors of 4881 that divides 4881 without a remainder.

1, 3, 1627, 4881

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 4881 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 4881 and 4888, than apply into the LCM equation.

GCF(4881,4888) = 1
LCM(4881,4888) = ( 4881 × 4888) / 1
LCM(4881,4888) = 23858328 / 1
LCM(4881,4888) = 23858328

Properties of LCM 4881 and 4888

(i) The LCM of 4888 and 4881 is associative

LCM of 4881 and 4888 = LCM of 4888 and 4881

Related Least Common Multiples of 4881

Related Least Common Multiples of 4888

Frequently Asked Questions on LCM of 4881 and 4888

1. What is the LCM of 4881 and 4888?

Answer: LCM of 4881 and 4888 is 23858328.

2. What are the Factors of 4881?

Answer: Factors of 4881 are 1, 3, 1627, 4881. There are 4 integers that are factors of 4881. The greatest factor of 4881 is 4881.

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 4881 and 4888?

Answer:

Least Common Multiple of 4881 and 4888 = 23858328

Step 1: Find the prime factorization of 4881

4881 = 3 x 1627

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 = 23858328 = 2 x 2 x 2 x 3 x 13 x 47 x 1627

Step 4: Therefore, the least common multiple of 4881 and 4888 is 23858328.