Least Common Multiple of 10447 and 10452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10447 and 10452 the smallest integer that is 109192044 that is divisible by both numbers.

Least Common Multiple (LCM) of 10447 and 10452 is 109192044.

LCM(10447,10452) = 109192044

LCM of 10447 and 10452

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

LCM of:
and

Least Common Multiple of 10447 and 10452

LCM of 10447 and 10452 is 109192044

Least common multiple can be found by multiplying the highest exponent prime factors of 10447 and 10452. First we will calculate the prime factors of 10447 and 10452.

Prime Factorization of 10447


31 10447
337 337
1

Prime factors of 10447 are 31,337. Prime factorization of 10447 in exponential form is:

10447 = 311×3371

Prime Factorization of 10452


2 10452
2 5226
3 2613
13 871
67 67
1

Prime factors of 10452 are 2, 3, 13,67. Prime factorization of 10452 in exponential form is:

10452 = 22×31×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 10447 and 10452.

LCM(10447,10452) = 22×31×131×311×671×3371
LCM(10447,10452) = 109192044

Factors of 10447

List of positive integer factors of 10447 that divides 10447 without a remainder.

1, 31, 337, 10447

Factors of 10452

List of positive integer factors of 10452 that divides 10452 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 67, 78, 134, 156, 201, 268, 402, 804, 871, 1742, 2613, 3484, 5226, 10452

Least Common Multiple of 10447 and 10452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10447 and 10452, than apply into the LCM equation.

GCF(10447,10452) = 1
LCM(10447,10452) = ( 10447 × 10452) / 1
LCM(10447,10452) = 109192044 / 1
LCM(10447,10452) = 109192044

Properties of LCM 10447 and 10452

(i) The LCM of 10452 and 10447 is associative

LCM of 10447 and 10452 = LCM of 10452 and 10447

Related Least Common Multiples of 10447

Related Least Common Multiples of 10452

Frequently Asked Questions on LCM of 10447 and 10452

1. What is the LCM of 10447 and 10452?

Answer: LCM of 10447 and 10452 is 109192044.

2. What are the Factors of 10447?

Answer: Factors of 10447 are 1, 31, 337, 10447. There are 4 integers that are factors of 10447. The greatest factor of 10447 is 10447.

3. What are the Factors of 10452?

Answer: Factors of 10452 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 67, 78, 134, 156, 201, 268, 402, 804, 871, 1742, 2613, 3484, 5226, 10452. There are 24 integers that are factors of 10452. The greatest factor of 10452 is 10452.

4. How to Find the LCM of 10447 and 10452?

Answer:

Least Common Multiple of 10447 and 10452 = 109192044

Step 1: Find the prime factorization of 10447

10447 = 31 x 337

Step 2: Find the prime factorization of 10452

10452 = 2 x 2 x 3 x 13 x 67

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

LCM = 109192044 = 2 x 2 x 3 x 13 x 31 x 67 x 337

Step 4: Therefore, the least common multiple of 10447 and 10452 is 109192044.