Least Common Multiple of 4896 and 4899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4896 and 4899 the smallest integer that is 7995168 that is divisible by both numbers.

Least Common Multiple (LCM) of 4896 and 4899 is 7995168.

LCM(4896,4899) = 7995168

LCM of 4896 and 4899

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

LCM of:
and

Least Common Multiple of 4896 and 4899

LCM of 4896 and 4899 is 7995168

Least common multiple can be found by multiplying the highest exponent prime factors of 4896 and 4899. First we will calculate the prime factors of 4896 and 4899.

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

Prime Factorization of 4899


3 4899
23 1633
71 71
1

Prime factors of 4899 are 3, 23,71. Prime factorization of 4899 in exponential form is:

4899 = 31×231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4896 and 4899.

LCM(4896,4899) = 25×32×171×231×711
LCM(4896,4899) = 7995168

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

Factors of 4899

List of positive integer factors of 4899 that divides 4899 without a remainder.

1, 3, 23, 69, 71, 213, 1633, 4899

Least Common Multiple of 4896 and 4899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4896 and 4899, than apply into the LCM equation.

GCF(4896,4899) = 3
LCM(4896,4899) = ( 4896 × 4899) / 3
LCM(4896,4899) = 23985504 / 3
LCM(4896,4899) = 7995168

Properties of LCM 4896 and 4899

(i) The LCM of 4899 and 4896 is associative

LCM of 4896 and 4899 = LCM of 4899 and 4896

Related Least Common Multiples of 4896

Related Least Common Multiples of 4899

Frequently Asked Questions on LCM of 4896 and 4899

1. What is the LCM of 4896 and 4899?

Answer: LCM of 4896 and 4899 is 7995168.

2. 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.

3. What are the Factors of 4899?

Answer: Factors of 4899 are 1, 3, 23, 69, 71, 213, 1633, 4899. There are 8 integers that are factors of 4899. The greatest factor of 4899 is 4899.

4. How to Find the LCM of 4896 and 4899?

Answer:

Least Common Multiple of 4896 and 4899 = 7995168

Step 1: Find the prime factorization of 4896

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

Step 2: Find the prime factorization of 4899

4899 = 3 x 23 x 71

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

LCM = 7995168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 23 x 71

Step 4: Therefore, the least common multiple of 4896 and 4899 is 7995168.