Least Common Multiple of 4452 and 4457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4452 and 4457 the smallest integer that is 19842564 that is divisible by both numbers.

Least Common Multiple (LCM) of 4452 and 4457 is 19842564.

LCM(4452,4457) = 19842564

LCM of 4452 and 4457

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

LCM of:
and

Least Common Multiple of 4452 and 4457

LCM of 4452 and 4457 is 19842564

Least common multiple can be found by multiplying the highest exponent prime factors of 4452 and 4457. First we will calculate the prime factors of 4452 and 4457.

Prime Factorization of 4452


2 4452
2 2226
3 1113
7 371
53 53
1

Prime factors of 4452 are 2, 3, 7,53. Prime factorization of 4452 in exponential form is:

4452 = 22×31×71×531

Prime Factorization of 4457


4457 4457
1

Prime factors of 4457 are 4457. Prime factorization of 4457 in exponential form is:

4457 = 44571

Now multiplying the highest exponent prime factors to calculate the LCM of 4452 and 4457.

LCM(4452,4457) = 22×31×71×531×44571
LCM(4452,4457) = 19842564

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452

Factors of 4457

List of positive integer factors of 4457 that divides 4457 without a remainder.

1, 4457

Least Common Multiple of 4452 and 4457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4452 and 4457, than apply into the LCM equation.

GCF(4452,4457) = 1
LCM(4452,4457) = ( 4452 × 4457) / 1
LCM(4452,4457) = 19842564 / 1
LCM(4452,4457) = 19842564

Properties of LCM 4452 and 4457

(i) The LCM of 4457 and 4452 is associative

LCM of 4452 and 4457 = LCM of 4457 and 4452

Related Least Common Multiples of 4452

Related Least Common Multiples of 4457

Frequently Asked Questions on LCM of 4452 and 4457

1. What is the LCM of 4452 and 4457?

Answer: LCM of 4452 and 4457 is 19842564.

2. What are the Factors of 4452?

Answer: Factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452. There are 24 integers that are factors of 4452. The greatest factor of 4452 is 4452.

3. What are the Factors of 4457?

Answer: Factors of 4457 are 1, 4457. There are 2 integers that are factors of 4457. The greatest factor of 4457 is 4457.

4. How to Find the LCM of 4452 and 4457?

Answer:

Least Common Multiple of 4452 and 4457 = 19842564

Step 1: Find the prime factorization of 4452

4452 = 2 x 2 x 3 x 7 x 53

Step 2: Find the prime factorization of 4457

4457 = 4457

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

LCM = 19842564 = 2 x 2 x 3 x 7 x 53 x 4457

Step 4: Therefore, the least common multiple of 4452 and 4457 is 19842564.