Least Common Multiple of 4893 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 4893 and 4899 the smallest integer that is 7990269 that is divisible by both numbers.

Least Common Multiple (LCM) of 4893 and 4899 is 7990269.

LCM(4893,4899) = 7990269

LCM of 4893 and 4899

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

LCM of:
and

Least Common Multiple of 4893 and 4899

LCM of 4893 and 4899 is 7990269

Least common multiple can be found by multiplying the highest exponent prime factors of 4893 and 4899. First we will calculate the prime factors of 4893 and 4899.

Prime Factorization of 4893


3 4893
7 1631
233 233
1

Prime factors of 4893 are 3, 7,233. Prime factorization of 4893 in exponential form is:

4893 = 31×71×2331

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 4893 and 4899.

LCM(4893,4899) = 31×71×231×711×2331
LCM(4893,4899) = 7990269

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1, 3, 7, 21, 233, 699, 1631, 4893

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 4893 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 4893 and 4899, than apply into the LCM equation.

GCF(4893,4899) = 3
LCM(4893,4899) = ( 4893 × 4899) / 3
LCM(4893,4899) = 23970807 / 3
LCM(4893,4899) = 7990269

Properties of LCM 4893 and 4899

(i) The LCM of 4899 and 4893 is associative

LCM of 4893 and 4899 = LCM of 4899 and 4893

Related Least Common Multiples of 4893

Related Least Common Multiples of 4899

Frequently Asked Questions on LCM of 4893 and 4899

1. What is the LCM of 4893 and 4899?

Answer: LCM of 4893 and 4899 is 7990269.

2. What are the Factors of 4893?

Answer: Factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893. There are 8 integers that are factors of 4893. The greatest factor of 4893 is 4893.

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 4893 and 4899?

Answer:

Least Common Multiple of 4893 and 4899 = 7990269

Step 1: Find the prime factorization of 4893

4893 = 3 x 7 x 233

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 = 7990269 = 3 x 7 x 23 x 71 x 233

Step 4: Therefore, the least common multiple of 4893 and 4899 is 7990269.