Least Common Multiple of 4492 and 4497

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 4497 the smallest integer that is 20200524 that is divisible by both numbers.

Least Common Multiple (LCM) of 4492 and 4497 is 20200524.

LCM(4492,4497) = 20200524

LCM of 4492 and 4497

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

LCM of:
and

Least Common Multiple of 4492 and 4497

LCM of 4492 and 4497 is 20200524

Least common multiple can be found by multiplying the highest exponent prime factors of 4492 and 4497. First we will calculate the prime factors of 4492 and 4497.

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 4497


3 4497
1499 1499
1

Prime factors of 4497 are 3,1499. Prime factorization of 4497 in exponential form is:

4497 = 31×14991

Now multiplying the highest exponent prime factors to calculate the LCM of 4492 and 4497.

LCM(4492,4497) = 22×31×11231×14991
LCM(4492,4497) = 20200524

Factors of 4492

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

1, 2, 4, 1123, 2246, 4492

Factors of 4497

List of positive integer factors of 4497 that divides 4497 without a remainder.

1, 3, 1499, 4497

Least Common Multiple of 4492 and 4497 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 4497, than apply into the LCM equation.

GCF(4492,4497) = 1
LCM(4492,4497) = ( 4492 × 4497) / 1
LCM(4492,4497) = 20200524 / 1
LCM(4492,4497) = 20200524

Properties of LCM 4492 and 4497

(i) The LCM of 4497 and 4492 is associative

LCM of 4492 and 4497 = LCM of 4497 and 4492

Related Least Common Multiples of 4492

Related Least Common Multiples of 4497

Frequently Asked Questions on LCM of 4492 and 4497

1. What is the LCM of 4492 and 4497?

Answer: LCM of 4492 and 4497 is 20200524.

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 4497?

Answer: Factors of 4497 are 1, 3, 1499, 4497. There are 4 integers that are factors of 4497. The greatest factor of 4497 is 4497.

4. How to Find the LCM of 4492 and 4497?

Answer:

Least Common Multiple of 4492 and 4497 = 20200524

Step 1: Find the prime factorization of 4492

4492 = 2 x 2 x 1123

Step 2: Find the prime factorization of 4497

4497 = 3 x 1499

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

LCM = 20200524 = 2 x 2 x 3 x 1123 x 1499

Step 4: Therefore, the least common multiple of 4492 and 4497 is 20200524.