Least Common Multiple of 4492 and 4499

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 4499 the smallest integer that is 20209508 that is divisible by both numbers.

Least Common Multiple (LCM) of 4492 and 4499 is 20209508.

LCM(4492,4499) = 20209508

LCM of 4492 and 4499

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

LCM of:
and

Least Common Multiple of 4492 and 4499

LCM of 4492 and 4499 is 20209508

Least common multiple can be found by multiplying the highest exponent prime factors of 4492 and 4499. First we will calculate the prime factors of 4492 and 4499.

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 4499


11 4499
409 409
1

Prime factors of 4499 are 11,409. Prime factorization of 4499 in exponential form is:

4499 = 111×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 4492 and 4499.

LCM(4492,4499) = 22×111×4091×11231
LCM(4492,4499) = 20209508

Factors of 4492

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

1, 2, 4, 1123, 2246, 4492

Factors of 4499

List of positive integer factors of 4499 that divides 4499 without a remainder.

1, 11, 409, 4499

Least Common Multiple of 4492 and 4499 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 4499, than apply into the LCM equation.

GCF(4492,4499) = 1
LCM(4492,4499) = ( 4492 × 4499) / 1
LCM(4492,4499) = 20209508 / 1
LCM(4492,4499) = 20209508

Properties of LCM 4492 and 4499

(i) The LCM of 4499 and 4492 is associative

LCM of 4492 and 4499 = LCM of 4499 and 4492

Related Least Common Multiples of 4492

Related Least Common Multiples of 4499

Frequently Asked Questions on LCM of 4492 and 4499

1. What is the LCM of 4492 and 4499?

Answer: LCM of 4492 and 4499 is 20209508.

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 4499?

Answer: Factors of 4499 are 1, 11, 409, 4499. There are 4 integers that are factors of 4499. The greatest factor of 4499 is 4499.

4. How to Find the LCM of 4492 and 4499?

Answer:

Least Common Multiple of 4492 and 4499 = 20209508

Step 1: Find the prime factorization of 4492

4492 = 2 x 2 x 1123

Step 2: Find the prime factorization of 4499

4499 = 11 x 409

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

LCM = 20209508 = 2 x 2 x 11 x 409 x 1123

Step 4: Therefore, the least common multiple of 4492 and 4499 is 20209508.