Least Common Multiple of 13460 and 13465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13460 and 13465 the smallest integer that is 36247780 that is divisible by both numbers.

Least Common Multiple (LCM) of 13460 and 13465 is 36247780.

LCM(13460,13465) = 36247780

LCM of 13460 and 13465

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

LCM of:
and

Least Common Multiple of 13460 and 13465

LCM of 13460 and 13465 is 36247780

Least common multiple can be found by multiplying the highest exponent prime factors of 13460 and 13465. First we will calculate the prime factors of 13460 and 13465.

Prime Factorization of 13460


2 13460
2 6730
5 3365
673 673
1

Prime factors of 13460 are 2, 5,673. Prime factorization of 13460 in exponential form is:

13460 = 22×51×6731

Prime Factorization of 13465


5 13465
2693 2693
1

Prime factors of 13465 are 5,2693. Prime factorization of 13465 in exponential form is:

13465 = 51×26931

Now multiplying the highest exponent prime factors to calculate the LCM of 13460 and 13465.

LCM(13460,13465) = 22×51×6731×26931
LCM(13460,13465) = 36247780

Factors of 13460

List of positive integer factors of 13460 that divides 13460 without a remainder.

1, 2, 4, 5, 10, 20, 673, 1346, 2692, 3365, 6730, 13460

Factors of 13465

List of positive integer factors of 13465 that divides 13465 without a remainder.

1, 5, 2693, 13465

Least Common Multiple of 13460 and 13465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13460 and 13465, than apply into the LCM equation.

GCF(13460,13465) = 5
LCM(13460,13465) = ( 13460 × 13465) / 5
LCM(13460,13465) = 181238900 / 5
LCM(13460,13465) = 36247780

Properties of LCM 13460 and 13465

(i) The LCM of 13465 and 13460 is associative

LCM of 13460 and 13465 = LCM of 13465 and 13460

Related Least Common Multiples of 13460

Related Least Common Multiples of 13465

Frequently Asked Questions on LCM of 13460 and 13465

1. What is the LCM of 13460 and 13465?

Answer: LCM of 13460 and 13465 is 36247780.

2. What are the Factors of 13460?

Answer: Factors of 13460 are 1, 2, 4, 5, 10, 20, 673, 1346, 2692, 3365, 6730, 13460. There are 12 integers that are factors of 13460. The greatest factor of 13460 is 13460.

3. What are the Factors of 13465?

Answer: Factors of 13465 are 1, 5, 2693, 13465. There are 4 integers that are factors of 13465. The greatest factor of 13465 is 13465.

4. How to Find the LCM of 13460 and 13465?

Answer:

Least Common Multiple of 13460 and 13465 = 36247780

Step 1: Find the prime factorization of 13460

13460 = 2 x 2 x 5 x 673

Step 2: Find the prime factorization of 13465

13465 = 5 x 2693

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

LCM = 36247780 = 2 x 2 x 5 x 673 x 2693

Step 4: Therefore, the least common multiple of 13460 and 13465 is 36247780.