Least Common Multiple of 4492 and 4498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4492 and 4498 the smallest integer that is 10102508 that is divisible by both numbers.

Least Common Multiple (LCM) of 4492 and 4498 is 10102508.

LCM(4492,4498) = 10102508

LCM of 4492 and 4498

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

LCM of:
and

Least Common Multiple of 4492 and 4498

LCM of 4492 and 4498 is 10102508

Least common multiple can be found by multiplying the highest exponent prime factors of 4492 and 4498. First we will calculate the prime factors of 4492 and 4498.

Prime Factorization of 4492


2 4492
2 2246
1123 1123
1

Prime factors of 4492 are 2,1123. Prime factorization of 4492 in exponential form is:

4492 = 22×11231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4492 and 4498.

LCM(4492,4498) = 22×131×1731×11231
LCM(4492,4498) = 10102508

Factors of 4492

List of positive integer factors of 4492 that divides 4492 without a remainder.

1, 2, 4, 1123, 2246, 4492

Factors of 4498

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

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

Least Common Multiple of 4492 and 4498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4492 and 4498, than apply into the LCM equation.

GCF(4492,4498) = 2
LCM(4492,4498) = ( 4492 × 4498) / 2
LCM(4492,4498) = 20205016 / 2
LCM(4492,4498) = 10102508

Properties of LCM 4492 and 4498

(i) The LCM of 4498 and 4492 is associative

LCM of 4492 and 4498 = LCM of 4498 and 4492

Related Least Common Multiples of 4492

Related Least Common Multiples of 4498

Frequently Asked Questions on LCM of 4492 and 4498

1. What is the LCM of 4492 and 4498?

Answer: LCM of 4492 and 4498 is 10102508.

2. What are the Factors of 4492?

Answer: Factors of 4492 are 1, 2, 4, 1123, 2246, 4492. There are 6 integers that are factors of 4492. The greatest factor of 4492 is 4492.

3. 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.

4. How to Find the LCM of 4492 and 4498?

Answer:

Least Common Multiple of 4492 and 4498 = 10102508

Step 1: Find the prime factorization of 4492

4492 = 2 x 2 x 1123

Step 2: Find the prime factorization of 4498

4498 = 2 x 13 x 173

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

LCM = 10102508 = 2 x 2 x 13 x 173 x 1123

Step 4: Therefore, the least common multiple of 4492 and 4498 is 10102508.