Least Common Multiple of 10453 and 10460

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 10460 the smallest integer that is 109338380 that is divisible by both numbers.

Least Common Multiple (LCM) of 10453 and 10460 is 109338380.

LCM(10453,10460) = 109338380

LCM of 10453 and 10460

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

LCM of:
and

Least Common Multiple of 10453 and 10460

LCM of 10453 and 10460 is 109338380

Least common multiple can be found by multiplying the highest exponent prime factors of 10453 and 10460. First we will calculate the prime factors of 10453 and 10460.

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 10460


2 10460
2 5230
5 2615
523 523
1

Prime factors of 10460 are 2, 5,523. Prime factorization of 10460 in exponential form is:

10460 = 22×51×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 10453 and 10460.

LCM(10453,10460) = 22×51×5231×104531
LCM(10453,10460) = 109338380

Factors of 10453

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

1, 10453

Factors of 10460

List of positive integer factors of 10460 that divides 10460 without a remainder.

1, 2, 4, 5, 10, 20, 523, 1046, 2092, 2615, 5230, 10460

Least Common Multiple of 10453 and 10460 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 10460, than apply into the LCM equation.

GCF(10453,10460) = 1
LCM(10453,10460) = ( 10453 × 10460) / 1
LCM(10453,10460) = 109338380 / 1
LCM(10453,10460) = 109338380

Properties of LCM 10453 and 10460

(i) The LCM of 10460 and 10453 is associative

LCM of 10453 and 10460 = LCM of 10460 and 10453

Related Least Common Multiples of 10453

Related Least Common Multiples of 10460

Frequently Asked Questions on LCM of 10453 and 10460

1. What is the LCM of 10453 and 10460?

Answer: LCM of 10453 and 10460 is 109338380.

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 10460?

Answer: Factors of 10460 are 1, 2, 4, 5, 10, 20, 523, 1046, 2092, 2615, 5230, 10460. There are 12 integers that are factors of 10460. The greatest factor of 10460 is 10460.

4. How to Find the LCM of 10453 and 10460?

Answer:

Least Common Multiple of 10453 and 10460 = 109338380

Step 1: Find the prime factorization of 10453

10453 = 10453

Step 2: Find the prime factorization of 10460

10460 = 2 x 2 x 5 x 523

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

LCM = 109338380 = 2 x 2 x 5 x 523 x 10453

Step 4: Therefore, the least common multiple of 10453 and 10460 is 109338380.