Least Common Multiple of 10453 and 10459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10453 and 10459 the smallest integer that is 109327927 that is divisible by both numbers.

Least Common Multiple (LCM) of 10453 and 10459 is 109327927.

LCM(10453,10459) = 109327927

LCM of 10453 and 10459

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

LCM of:
and

Least Common Multiple of 10453 and 10459

LCM of 10453 and 10459 is 109327927

Least common multiple can be found by multiplying the highest exponent prime factors of 10453 and 10459. First we will calculate the prime factors of 10453 and 10459.

Prime Factorization of 10453


10453 10453
1

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

10453 = 104531

Prime Factorization of 10459


10459 10459
1

Prime factors of 10459 are 10459. Prime factorization of 10459 in exponential form is:

10459 = 104591

Now multiplying the highest exponent prime factors to calculate the LCM of 10453 and 10459.

LCM(10453,10459) = 104531×104591
LCM(10453,10459) = 109327927

Factors of 10453

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

1, 10453

Factors of 10459

List of positive integer factors of 10459 that divides 10459 without a remainder.

1, 10459

Least Common Multiple of 10453 and 10459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10453 and 10459, than apply into the LCM equation.

GCF(10453,10459) = 1
LCM(10453,10459) = ( 10453 × 10459) / 1
LCM(10453,10459) = 109327927 / 1
LCM(10453,10459) = 109327927

Properties of LCM 10453 and 10459

(i) The LCM of 10459 and 10453 is associative

LCM of 10453 and 10459 = LCM of 10459 and 10453

Related Least Common Multiples of 10453

Related Least Common Multiples of 10459

Frequently Asked Questions on LCM of 10453 and 10459

1. What is the LCM of 10453 and 10459?

Answer: LCM of 10453 and 10459 is 109327927.

2. 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.

3. What are the Factors of 10459?

Answer: Factors of 10459 are 1, 10459. There are 2 integers that are factors of 10459. The greatest factor of 10459 is 10459.

4. How to Find the LCM of 10453 and 10459?

Answer:

Least Common Multiple of 10453 and 10459 = 109327927

Step 1: Find the prime factorization of 10453

10453 = 10453

Step 2: Find the prime factorization of 10459

10459 = 10459

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

LCM = 109327927 = 10453 x 10459

Step 4: Therefore, the least common multiple of 10453 and 10459 is 109327927.