Least Common Multiple of 4899 and 4906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4899 and 4906 the smallest integer that is 24034494 that is divisible by both numbers.

Least Common Multiple (LCM) of 4899 and 4906 is 24034494.

LCM(4899,4906) = 24034494

LCM of 4899 and 4906

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

LCM of:
and

Least Common Multiple of 4899 and 4906

LCM of 4899 and 4906 is 24034494

Least common multiple can be found by multiplying the highest exponent prime factors of 4899 and 4906. First we will calculate the prime factors of 4899 and 4906.

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

Prime Factorization of 4906


2 4906
11 2453
223 223
1

Prime factors of 4906 are 2, 11,223. Prime factorization of 4906 in exponential form is:

4906 = 21×111×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4899 and 4906.

LCM(4899,4906) = 21×31×111×231×711×2231
LCM(4899,4906) = 24034494

Factors of 4899

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

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

Factors of 4906

List of positive integer factors of 4906 that divides 4906 without a remainder.

1, 2, 11, 22, 223, 446, 2453, 4906

Least Common Multiple of 4899 and 4906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4899 and 4906, than apply into the LCM equation.

GCF(4899,4906) = 1
LCM(4899,4906) = ( 4899 × 4906) / 1
LCM(4899,4906) = 24034494 / 1
LCM(4899,4906) = 24034494

Properties of LCM 4899 and 4906

(i) The LCM of 4906 and 4899 is associative

LCM of 4899 and 4906 = LCM of 4906 and 4899

Related Least Common Multiples of 4899

Related Least Common Multiples of 4906

Frequently Asked Questions on LCM of 4899 and 4906

1. What is the LCM of 4899 and 4906?

Answer: LCM of 4899 and 4906 is 24034494.

2. 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.

3. What are the Factors of 4906?

Answer: Factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906. There are 8 integers that are factors of 4906. The greatest factor of 4906 is 4906.

4. How to Find the LCM of 4899 and 4906?

Answer:

Least Common Multiple of 4899 and 4906 = 24034494

Step 1: Find the prime factorization of 4899

4899 = 3 x 23 x 71

Step 2: Find the prime factorization of 4906

4906 = 2 x 11 x 223

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

LCM = 24034494 = 2 x 3 x 11 x 23 x 71 x 223

Step 4: Therefore, the least common multiple of 4899 and 4906 is 24034494.