Least Common Multiple of 10449 and 10453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10449 and 10453 the smallest integer that is 109223397 that is divisible by both numbers.

Least Common Multiple (LCM) of 10449 and 10453 is 109223397.

LCM(10449,10453) = 109223397

LCM of 10449 and 10453

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

LCM of:
and

Least Common Multiple of 10449 and 10453

LCM of 10449 and 10453 is 109223397

Least common multiple can be found by multiplying the highest exponent prime factors of 10449 and 10453. First we will calculate the prime factors of 10449 and 10453.

Prime Factorization of 10449


3 10449
3 3483
3 1161
3 387
3 129
43 43
1

Prime factors of 10449 are 3,43. Prime factorization of 10449 in exponential form is:

10449 = 35×431

Prime Factorization of 10453


10453 10453
1

Prime factors of 10453 are 10453. Prime factorization of 10453 in exponential form is:

10453 = 104531

Now multiplying the highest exponent prime factors to calculate the LCM of 10449 and 10453.

LCM(10449,10453) = 35×431×104531
LCM(10449,10453) = 109223397

Factors of 10449

List of positive integer factors of 10449 that divides 10449 without a remainder.

1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449

Factors of 10453

List of positive integer factors of 10453 that divides 10453 without a remainder.

1, 10453

Least Common Multiple of 10449 and 10453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10449 and 10453, than apply into the LCM equation.

GCF(10449,10453) = 1
LCM(10449,10453) = ( 10449 × 10453) / 1
LCM(10449,10453) = 109223397 / 1
LCM(10449,10453) = 109223397

Properties of LCM 10449 and 10453

(i) The LCM of 10453 and 10449 is associative

LCM of 10449 and 10453 = LCM of 10453 and 10449

Related Least Common Multiples of 10449

Related Least Common Multiples of 10453

Frequently Asked Questions on LCM of 10449 and 10453

1. What is the LCM of 10449 and 10453?

Answer: LCM of 10449 and 10453 is 109223397.

2. What are the Factors of 10449?

Answer: Factors of 10449 are 1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449. There are 12 integers that are factors of 10449. The greatest factor of 10449 is 10449.

3. What are the Factors of 10453?

Answer: Factors of 10453 are 1, 10453. There are 2 integers that are factors of 10453. The greatest factor of 10453 is 10453.

4. How to Find the LCM of 10449 and 10453?

Answer:

Least Common Multiple of 10449 and 10453 = 109223397

Step 1: Find the prime factorization of 10449

10449 = 3 x 3 x 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 10453

10453 = 10453

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

LCM = 109223397 = 3 x 3 x 3 x 3 x 3 x 43 x 10453

Step 4: Therefore, the least common multiple of 10449 and 10453 is 109223397.