Least Common Multiple of 4498 and 4500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4498 and 4500 the smallest integer that is 10120500 that is divisible by both numbers.

Least Common Multiple (LCM) of 4498 and 4500 is 10120500.

LCM(4498,4500) = 10120500

LCM of 4498 and 4500

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

LCM of:
and

Least Common Multiple of 4498 and 4500

LCM of 4498 and 4500 is 10120500

Least common multiple can be found by multiplying the highest exponent prime factors of 4498 and 4500. First we will calculate the prime factors of 4498 and 4500.

Prime Factorization of 4498


2 4498
13 2249
173 173
1

Prime factors of 4498 are 2, 13,173. Prime factorization of 4498 in exponential form is:

4498 = 21×131×1731

Prime Factorization of 4500


2 4500
2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 4500 are 2, 3,5. Prime factorization of 4500 in exponential form is:

4500 = 22×32×53

Now multiplying the highest exponent prime factors to calculate the LCM of 4498 and 4500.

LCM(4498,4500) = 22×32×53×131×1731
LCM(4498,4500) = 10120500

Factors of 4498

List of positive integer factors of 4498 that divides 4498 without a remainder.

1, 2, 13, 26, 173, 346, 2249, 4498

Factors of 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500

Least Common Multiple of 4498 and 4500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4498 and 4500, than apply into the LCM equation.

GCF(4498,4500) = 2
LCM(4498,4500) = ( 4498 × 4500) / 2
LCM(4498,4500) = 20241000 / 2
LCM(4498,4500) = 10120500

Properties of LCM 4498 and 4500

(i) The LCM of 4500 and 4498 is associative

LCM of 4498 and 4500 = LCM of 4500 and 4498

Related Least Common Multiples of 4498

Related Least Common Multiples of 4500

Frequently Asked Questions on LCM of 4498 and 4500

1. What is the LCM of 4498 and 4500?

Answer: LCM of 4498 and 4500 is 10120500.

2. What are the Factors of 4498?

Answer: Factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498. There are 8 integers that are factors of 4498. The greatest factor of 4498 is 4498.

3. What are the Factors of 4500?

Answer: Factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. There are 36 integers that are factors of 4500. The greatest factor of 4500 is 4500.

4. How to Find the LCM of 4498 and 4500?

Answer:

Least Common Multiple of 4498 and 4500 = 10120500

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4500

4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5

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

LCM = 10120500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13 x 173

Step 4: Therefore, the least common multiple of 4498 and 4500 is 10120500.