Least Common Multiple of 4452 and 4459

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 4459 the smallest integer that is 2835924 that is divisible by both numbers.

Least Common Multiple (LCM) of 4452 and 4459 is 2835924.

LCM(4452,4459) = 2835924

LCM of 4452 and 4459

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

LCM of:
and

Least Common Multiple of 4452 and 4459

LCM of 4452 and 4459 is 2835924

Least common multiple can be found by multiplying the highest exponent prime factors of 4452 and 4459. First we will calculate the prime factors of 4452 and 4459.

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 4459


7 4459
7 637
7 91
13 13
1

Prime factors of 4459 are 7,13. Prime factorization of 4459 in exponential form is:

4459 = 73×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4452 and 4459.

LCM(4452,4459) = 22×31×73×131×531
LCM(4452,4459) = 2835924

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 4459

List of positive integer factors of 4459 that divides 4459 without a remainder.

1, 7, 13, 49, 91, 343, 637, 4459

Least Common Multiple of 4452 and 4459 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 4459, than apply into the LCM equation.

GCF(4452,4459) = 7
LCM(4452,4459) = ( 4452 × 4459) / 7
LCM(4452,4459) = 19851468 / 7
LCM(4452,4459) = 2835924

Properties of LCM 4452 and 4459

(i) The LCM of 4459 and 4452 is associative

LCM of 4452 and 4459 = LCM of 4459 and 4452

Related Least Common Multiples of 4452

Related Least Common Multiples of 4459

Frequently Asked Questions on LCM of 4452 and 4459

1. What is the LCM of 4452 and 4459?

Answer: LCM of 4452 and 4459 is 2835924.

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 4459?

Answer: Factors of 4459 are 1, 7, 13, 49, 91, 343, 637, 4459. There are 8 integers that are factors of 4459. The greatest factor of 4459 is 4459.

4. How to Find the LCM of 4452 and 4459?

Answer:

Least Common Multiple of 4452 and 4459 = 2835924

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 4459

4459 = 7 x 7 x 7 x 13

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

LCM = 2835924 = 2 x 2 x 3 x 7 x 7 x 7 x 13 x 53

Step 4: Therefore, the least common multiple of 4452 and 4459 is 2835924.