Least Common Multiple of 4889 and 4896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4889 and 4896 the smallest integer that is 23936544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4889 and 4896 is 23936544.

LCM(4889,4896) = 23936544

LCM of 4889 and 4896

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

LCM of:
and

Least Common Multiple of 4889 and 4896

LCM of 4889 and 4896 is 23936544

Least common multiple can be found by multiplying the highest exponent prime factors of 4889 and 4896. First we will calculate the prime factors of 4889 and 4896.

Prime Factorization of 4889


4889 4889
1

Prime factors of 4889 are 4889. Prime factorization of 4889 in exponential form is:

4889 = 48891

Prime Factorization of 4896


2 4896
2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 4896 are 2, 3,17. Prime factorization of 4896 in exponential form is:

4896 = 25×32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4889 and 4896.

LCM(4889,4896) = 25×32×171×48891
LCM(4889,4896) = 23936544

Factors of 4889

List of positive integer factors of 4889 that divides 4889 without a remainder.

1, 4889

Factors of 4896

List of positive integer factors of 4896 that divides 4896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896

Least Common Multiple of 4889 and 4896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4889 and 4896, than apply into the LCM equation.

GCF(4889,4896) = 1
LCM(4889,4896) = ( 4889 × 4896) / 1
LCM(4889,4896) = 23936544 / 1
LCM(4889,4896) = 23936544

Properties of LCM 4889 and 4896

(i) The LCM of 4896 and 4889 is associative

LCM of 4889 and 4896 = LCM of 4896 and 4889

Related Least Common Multiples of 4889

Related Least Common Multiples of 4896

Frequently Asked Questions on LCM of 4889 and 4896

1. What is the LCM of 4889 and 4896?

Answer: LCM of 4889 and 4896 is 23936544.

2. What are the Factors of 4889?

Answer: Factors of 4889 are 1, 4889. There are 2 integers that are factors of 4889. The greatest factor of 4889 is 4889.

3. What are the Factors of 4896?

Answer: Factors of 4896 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896. There are 36 integers that are factors of 4896. The greatest factor of 4896 is 4896.

4. How to Find the LCM of 4889 and 4896?

Answer:

Least Common Multiple of 4889 and 4896 = 23936544

Step 1: Find the prime factorization of 4889

4889 = 4889

Step 2: Find the prime factorization of 4896

4896 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17

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

LCM = 23936544 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 4889

Step 4: Therefore, the least common multiple of 4889 and 4896 is 23936544.