Least Common Multiple of 4888 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 4888 and 4896 the smallest integer that is 2991456 that is divisible by both numbers.

Least Common Multiple (LCM) of 4888 and 4896 is 2991456.

LCM(4888,4896) = 2991456

LCM of 4888 and 4896

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

LCM of:
and

Least Common Multiple of 4888 and 4896

LCM of 4888 and 4896 is 2991456

Least common multiple can be found by multiplying the highest exponent prime factors of 4888 and 4896. First we will calculate the prime factors of 4888 and 4896.

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 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 4888 and 4896.

LCM(4888,4896) = 25×32×131×171×471
LCM(4888,4896) = 2991456

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 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 4888 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 4888 and 4896, than apply into the LCM equation.

GCF(4888,4896) = 8
LCM(4888,4896) = ( 4888 × 4896) / 8
LCM(4888,4896) = 23931648 / 8
LCM(4888,4896) = 2991456

Properties of LCM 4888 and 4896

(i) The LCM of 4896 and 4888 is associative

LCM of 4888 and 4896 = LCM of 4896 and 4888

Related Least Common Multiples of 4888

Related Least Common Multiples of 4896

Frequently Asked Questions on LCM of 4888 and 4896

1. What is the LCM of 4888 and 4896?

Answer: LCM of 4888 and 4896 is 2991456.

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 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 4888 and 4896?

Answer:

Least Common Multiple of 4888 and 4896 = 2991456

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 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 = 2991456 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 17 x 47

Step 4: Therefore, the least common multiple of 4888 and 4896 is 2991456.