Least Common Multiple of 13465 and 13473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13465 and 13473 the smallest integer that is 181413945 that is divisible by both numbers.

Least Common Multiple (LCM) of 13465 and 13473 is 181413945.

LCM(13465,13473) = 181413945

LCM of 13465 and 13473

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

LCM of:
and

Least Common Multiple of 13465 and 13473

LCM of 13465 and 13473 is 181413945

Least common multiple can be found by multiplying the highest exponent prime factors of 13465 and 13473. First we will calculate the prime factors of 13465 and 13473.

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

Prime Factorization of 13473


3 13473
3 4491
3 1497
499 499
1

Prime factors of 13473 are 3,499. Prime factorization of 13473 in exponential form is:

13473 = 33×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 13465 and 13473.

LCM(13465,13473) = 33×51×4991×26931
LCM(13465,13473) = 181413945

Factors of 13465

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

1, 5, 2693, 13465

Factors of 13473

List of positive integer factors of 13473 that divides 13473 without a remainder.

1, 3, 9, 27, 499, 1497, 4491, 13473

Least Common Multiple of 13465 and 13473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13465 and 13473, than apply into the LCM equation.

GCF(13465,13473) = 1
LCM(13465,13473) = ( 13465 × 13473) / 1
LCM(13465,13473) = 181413945 / 1
LCM(13465,13473) = 181413945

Properties of LCM 13465 and 13473

(i) The LCM of 13473 and 13465 is associative

LCM of 13465 and 13473 = LCM of 13473 and 13465

Related Least Common Multiples of 13465

Related Least Common Multiples of 13473

Frequently Asked Questions on LCM of 13465 and 13473

1. What is the LCM of 13465 and 13473?

Answer: LCM of 13465 and 13473 is 181413945.

2. 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.

3. What are the Factors of 13473?

Answer: Factors of 13473 are 1, 3, 9, 27, 499, 1497, 4491, 13473. There are 8 integers that are factors of 13473. The greatest factor of 13473 is 13473.

4. How to Find the LCM of 13465 and 13473?

Answer:

Least Common Multiple of 13465 and 13473 = 181413945

Step 1: Find the prime factorization of 13465

13465 = 5 x 2693

Step 2: Find the prime factorization of 13473

13473 = 3 x 3 x 3 x 499

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

LCM = 181413945 = 3 x 3 x 3 x 5 x 499 x 2693

Step 4: Therefore, the least common multiple of 13465 and 13473 is 181413945.