Least Common Multiple of 4447 and 4452

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

• Least Common Multiple of 4447 and 4452 by Prime method
• Least Common Multiple of 4447 and 4452 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4447 and 4452. First we will calculate the prime factors of 4447 and 4452.

Prime Factorization of 4447

Prime factors of 4447 are 4447. Prime factorization of 4447 in exponential form is:

4447 = 4447¹

Prime Factorization of 4452

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 4447 and 4452.

LCM(4447,4452) = 2²×3¹×7¹×53¹×4447¹
LCM(4447,4452) = 19798044

Factors of 4447

List of positive integer factors of 4447 that divides 4447 without a remainder.

1, 4447

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4447 and 4452, than apply into the LCM equation.

GCF(4447,4452) = 1
LCM(4447,4452) = ( 4447 × 4452) / 1
LCM(4447,4452) = 19798044 / 1
LCM(4447,4452) = 19798044

(i) The LCM of 4452 and 4447 is associative

LCM of 4447 and 4452 = LCM of 4452 and 4447

1. What is the LCM of 4447 and 4452?

Answer: LCM of 4447 and 4452 is 19798044.

2. What are the Factors of 4447?

Answer: Factors of 4447 are 1, 4447. There are 2 integers that are factors of 4447. The greatest factor of 4447 is 4447.

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 4447 and 4452?

Answer:

Least Common Multiple of 4447 and 4452 = 19798044

Step 1: Find the prime factorization of 4447

4447 = 4447

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 = 19798044 = 2 x 2 x 3 x 7 x 53 x 4447

Step 4: Therefore, the least common multiple of 4447 and 4452 is 19798044.