Least Common Multiple of 4446 and 4452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4446 and 4452 the smallest integer that is 3298932 that is divisible by both numbers.

Least Common Multiple (LCM) of 4446 and 4452 is 3298932.

LCM(4446,4452) = 3298932

LCM of 4446 and 4452

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

LCM of:
and

Least Common Multiple of 4446 and 4452

LCM of 4446 and 4452 is 3298932

Least common multiple can be found by multiplying the highest exponent prime factors of 4446 and 4452. First we will calculate the prime factors of 4446 and 4452.

Prime Factorization of 4446


2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 4446 are 2, 3, 13,19. Prime factorization of 4446 in exponential form is:

4446 = 21×32×131×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4446 and 4452.

LCM(4446,4452) = 22×32×71×131×191×531
LCM(4446,4452) = 3298932

Factors of 4446

List of positive integer factors of 4446 that divides 4446 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446

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

Least Common Multiple of 4446 and 4452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4446 and 4452, than apply into the LCM equation.

GCF(4446,4452) = 6
LCM(4446,4452) = ( 4446 × 4452) / 6
LCM(4446,4452) = 19793592 / 6
LCM(4446,4452) = 3298932

Properties of LCM 4446 and 4452

(i) The LCM of 4452 and 4446 is associative

LCM of 4446 and 4452 = LCM of 4452 and 4446

Related Least Common Multiples of 4446

Related Least Common Multiples of 4452

Frequently Asked Questions on LCM of 4446 and 4452

1. What is the LCM of 4446 and 4452?

Answer: LCM of 4446 and 4452 is 3298932.

2. What are the Factors of 4446?

Answer: Factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446. There are 24 integers that are factors of 4446. The greatest factor of 4446 is 4446.

3. 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.

4. How to Find the LCM of 4446 and 4452?

Answer:

Least Common Multiple of 4446 and 4452 = 3298932

Step 1: Find the prime factorization of 4446

4446 = 2 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 4452

4452 = 2 x 2 x 3 x 7 x 53

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

LCM = 3298932 = 2 x 2 x 3 x 3 x 7 x 13 x 19 x 53

Step 4: Therefore, the least common multiple of 4446 and 4452 is 3298932.