Least Common Multiple of 4452 and 4458

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 4458 the smallest integer that is 3307836 that is divisible by both numbers.

Least Common Multiple (LCM) of 4452 and 4458 is 3307836.

LCM(4452,4458) = 3307836

LCM of 4452 and 4458

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

LCM of:
and

Least Common Multiple of 4452 and 4458

LCM of 4452 and 4458 is 3307836

Least common multiple can be found by multiplying the highest exponent prime factors of 4452 and 4458. First we will calculate the prime factors of 4452 and 4458.

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 4458


2 4458
3 2229
743 743
1

Prime factors of 4458 are 2, 3,743. Prime factorization of 4458 in exponential form is:

4458 = 21×31×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 4452 and 4458.

LCM(4452,4458) = 22×31×71×531×7431
LCM(4452,4458) = 3307836

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 4458

List of positive integer factors of 4458 that divides 4458 without a remainder.

1, 2, 3, 6, 743, 1486, 2229, 4458

Least Common Multiple of 4452 and 4458 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 4458, than apply into the LCM equation.

GCF(4452,4458) = 6
LCM(4452,4458) = ( 4452 × 4458) / 6
LCM(4452,4458) = 19847016 / 6
LCM(4452,4458) = 3307836

Properties of LCM 4452 and 4458

(i) The LCM of 4458 and 4452 is associative

LCM of 4452 and 4458 = LCM of 4458 and 4452

Related Least Common Multiples of 4452

Related Least Common Multiples of 4458

Frequently Asked Questions on LCM of 4452 and 4458

1. What is the LCM of 4452 and 4458?

Answer: LCM of 4452 and 4458 is 3307836.

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 4458?

Answer: Factors of 4458 are 1, 2, 3, 6, 743, 1486, 2229, 4458. There are 8 integers that are factors of 4458. The greatest factor of 4458 is 4458.

4. How to Find the LCM of 4452 and 4458?

Answer:

Least Common Multiple of 4452 and 4458 = 3307836

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 4458

4458 = 2 x 3 x 743

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

LCM = 3307836 = 2 x 2 x 3 x 7 x 53 x 743

Step 4: Therefore, the least common multiple of 4452 and 4458 is 3307836.