Least Common Multiple of 4498 and 4501

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 4501 the smallest integer that is 20245498 that is divisible by both numbers.

Least Common Multiple (LCM) of 4498 and 4501 is 20245498.

LCM(4498,4501) = 20245498

LCM of 4498 and 4501

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

LCM of:
and

Least Common Multiple of 4498 and 4501

LCM of 4498 and 4501 is 20245498

Least common multiple can be found by multiplying the highest exponent prime factors of 4498 and 4501. First we will calculate the prime factors of 4498 and 4501.

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 4501


7 4501
643 643
1

Prime factors of 4501 are 7,643. Prime factorization of 4501 in exponential form is:

4501 = 71×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 4498 and 4501.

LCM(4498,4501) = 21×71×131×1731×6431
LCM(4498,4501) = 20245498

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 4501

List of positive integer factors of 4501 that divides 4501 without a remainder.

1, 7, 643, 4501

Least Common Multiple of 4498 and 4501 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 4501, than apply into the LCM equation.

GCF(4498,4501) = 1
LCM(4498,4501) = ( 4498 × 4501) / 1
LCM(4498,4501) = 20245498 / 1
LCM(4498,4501) = 20245498

Properties of LCM 4498 and 4501

(i) The LCM of 4501 and 4498 is associative

LCM of 4498 and 4501 = LCM of 4501 and 4498

Related Least Common Multiples of 4498

Related Least Common Multiples of 4501

Frequently Asked Questions on LCM of 4498 and 4501

1. What is the LCM of 4498 and 4501?

Answer: LCM of 4498 and 4501 is 20245498.

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 4501?

Answer: Factors of 4501 are 1, 7, 643, 4501. There are 4 integers that are factors of 4501. The greatest factor of 4501 is 4501.

4. How to Find the LCM of 4498 and 4501?

Answer:

Least Common Multiple of 4498 and 4501 = 20245498

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4501

4501 = 7 x 643

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

LCM = 20245498 = 2 x 7 x 13 x 173 x 643

Step 4: Therefore, the least common multiple of 4498 and 4501 is 20245498.