Least Common Multiple of 13466 and 13470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13466 and 13470 the smallest integer that is 90693510 that is divisible by both numbers.

Least Common Multiple (LCM) of 13466 and 13470 is 90693510.

LCM(13466,13470) = 90693510

LCM of 13466 and 13470

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

LCM of:
and

Least Common Multiple of 13466 and 13470

LCM of 13466 and 13470 is 90693510

Least common multiple can be found by multiplying the highest exponent prime factors of 13466 and 13470. First we will calculate the prime factors of 13466 and 13470.

Prime Factorization of 13466


2 13466
6733 6733
1

Prime factors of 13466 are 2,6733. Prime factorization of 13466 in exponential form is:

13466 = 21×67331

Prime Factorization of 13470


2 13470
3 6735
5 2245
449 449
1

Prime factors of 13470 are 2, 3, 5,449. Prime factorization of 13470 in exponential form is:

13470 = 21×31×51×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 13466 and 13470.

LCM(13466,13470) = 21×31×51×4491×67331
LCM(13466,13470) = 90693510

Factors of 13466

List of positive integer factors of 13466 that divides 13466 without a remainder.

1, 2, 6733, 13466

Factors of 13470

List of positive integer factors of 13470 that divides 13470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735, 13470

Least Common Multiple of 13466 and 13470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13466 and 13470, than apply into the LCM equation.

GCF(13466,13470) = 2
LCM(13466,13470) = ( 13466 × 13470) / 2
LCM(13466,13470) = 181387020 / 2
LCM(13466,13470) = 90693510

Properties of LCM 13466 and 13470

(i) The LCM of 13470 and 13466 is associative

LCM of 13466 and 13470 = LCM of 13470 and 13466

Related Least Common Multiples of 13466

Related Least Common Multiples of 13470

Frequently Asked Questions on LCM of 13466 and 13470

1. What is the LCM of 13466 and 13470?

Answer: LCM of 13466 and 13470 is 90693510.

2. What are the Factors of 13466?

Answer: Factors of 13466 are 1, 2, 6733, 13466. There are 4 integers that are factors of 13466. The greatest factor of 13466 is 13466.

3. What are the Factors of 13470?

Answer: Factors of 13470 are 1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735, 13470. There are 16 integers that are factors of 13470. The greatest factor of 13470 is 13470.

4. How to Find the LCM of 13466 and 13470?

Answer:

Least Common Multiple of 13466 and 13470 = 90693510

Step 1: Find the prime factorization of 13466

13466 = 2 x 6733

Step 2: Find the prime factorization of 13470

13470 = 2 x 3 x 5 x 449

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

LCM = 90693510 = 2 x 3 x 5 x 449 x 6733

Step 4: Therefore, the least common multiple of 13466 and 13470 is 90693510.