Least Common Multiple of 10460 and 10465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10460 and 10465 the smallest integer that is 21892780 that is divisible by both numbers.

Least Common Multiple (LCM) of 10460 and 10465 is 21892780.

LCM(10460,10465) = 21892780

LCM of 10460 and 10465

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

LCM of:
and

Least Common Multiple of 10460 and 10465

LCM of 10460 and 10465 is 21892780

Least common multiple can be found by multiplying the highest exponent prime factors of 10460 and 10465. First we will calculate the prime factors of 10460 and 10465.

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

Prime Factorization of 10465


5 10465
7 2093
13 299
23 23
1

Prime factors of 10465 are 5, 7, 13,23. Prime factorization of 10465 in exponential form is:

10465 = 51×71×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 10460 and 10465.

LCM(10460,10465) = 22×51×71×131×231×5231
LCM(10460,10465) = 21892780

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

Factors of 10465

List of positive integer factors of 10465 that divides 10465 without a remainder.

1, 5, 7, 13, 23, 35, 65, 91, 115, 161, 299, 455, 805, 1495, 2093, 10465

Least Common Multiple of 10460 and 10465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10460 and 10465, than apply into the LCM equation.

GCF(10460,10465) = 5
LCM(10460,10465) = ( 10460 × 10465) / 5
LCM(10460,10465) = 109463900 / 5
LCM(10460,10465) = 21892780

Properties of LCM 10460 and 10465

(i) The LCM of 10465 and 10460 is associative

LCM of 10460 and 10465 = LCM of 10465 and 10460

Related Least Common Multiples of 10460

Related Least Common Multiples of 10465

Frequently Asked Questions on LCM of 10460 and 10465

1. What is the LCM of 10460 and 10465?

Answer: LCM of 10460 and 10465 is 21892780.

2. 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.

3. What are the Factors of 10465?

Answer: Factors of 10465 are 1, 5, 7, 13, 23, 35, 65, 91, 115, 161, 299, 455, 805, 1495, 2093, 10465. There are 16 integers that are factors of 10465. The greatest factor of 10465 is 10465.

4. How to Find the LCM of 10460 and 10465?

Answer:

Least Common Multiple of 10460 and 10465 = 21892780

Step 1: Find the prime factorization of 10460

10460 = 2 x 2 x 5 x 523

Step 2: Find the prime factorization of 10465

10465 = 5 x 7 x 13 x 23

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

LCM = 21892780 = 2 x 2 x 5 x 7 x 13 x 23 x 523

Step 4: Therefore, the least common multiple of 10460 and 10465 is 21892780.