Least Common Multiple of 4893 and 4900

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 4900 the smallest integer that is 3425100 that is divisible by both numbers.

Least Common Multiple (LCM) of 4893 and 4900 is 3425100.

LCM(4893,4900) = 3425100

LCM of 4893 and 4900

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

LCM of:
and

Least Common Multiple of 4893 and 4900

LCM of 4893 and 4900 is 3425100

Least common multiple can be found by multiplying the highest exponent prime factors of 4893 and 4900. First we will calculate the prime factors of 4893 and 4900.

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 4900


2 4900
2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 4900 are 2, 5,7. Prime factorization of 4900 in exponential form is:

4900 = 22×52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 4893 and 4900.

LCM(4893,4900) = 22×31×52×72×2331
LCM(4893,4900) = 3425100

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 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900

Least Common Multiple of 4893 and 4900 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 4900, than apply into the LCM equation.

GCF(4893,4900) = 7
LCM(4893,4900) = ( 4893 × 4900) / 7
LCM(4893,4900) = 23975700 / 7
LCM(4893,4900) = 3425100

Properties of LCM 4893 and 4900

(i) The LCM of 4900 and 4893 is associative

LCM of 4893 and 4900 = LCM of 4900 and 4893

Related Least Common Multiples of 4893

Related Least Common Multiples of 4900

Frequently Asked Questions on LCM of 4893 and 4900

1. What is the LCM of 4893 and 4900?

Answer: LCM of 4893 and 4900 is 3425100.

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 4900?

Answer: Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900. There are 27 integers that are factors of 4900. The greatest factor of 4900 is 4900.

4. How to Find the LCM of 4893 and 4900?

Answer:

Least Common Multiple of 4893 and 4900 = 3425100

Step 1: Find the prime factorization of 4893

4893 = 3 x 7 x 233

Step 2: Find the prime factorization of 4900

4900 = 2 x 2 x 5 x 5 x 7 x 7

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

LCM = 3425100 = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 233

Step 4: Therefore, the least common multiple of 4893 and 4900 is 3425100.