Least Common Multiple of 15413 and 15417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15413 and 15417 the smallest integer that is 237622221 that is divisible by both numbers.

Least Common Multiple (LCM) of 15413 and 15417 is 237622221.

LCM(15413,15417) = 237622221

LCM of 15413 and 15417

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

LCM of:
and

Least Common Multiple of 15413 and 15417

LCM of 15413 and 15417 is 237622221

Least common multiple can be found by multiplying the highest exponent prime factors of 15413 and 15417. First we will calculate the prime factors of 15413 and 15417.

Prime Factorization of 15413


15413 15413
1

Prime factors of 15413 are 15413. Prime factorization of 15413 in exponential form is:

15413 = 154131

Prime Factorization of 15417


3 15417
3 5139
3 1713
571 571
1

Prime factors of 15417 are 3,571. Prime factorization of 15417 in exponential form is:

15417 = 33×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 15413 and 15417.

LCM(15413,15417) = 33×5711×154131
LCM(15413,15417) = 237622221

Factors of 15413

List of positive integer factors of 15413 that divides 15413 without a remainder.

1, 15413

Factors of 15417

List of positive integer factors of 15417 that divides 15417 without a remainder.

1, 3, 9, 27, 571, 1713, 5139, 15417

Least Common Multiple of 15413 and 15417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15413 and 15417, than apply into the LCM equation.

GCF(15413,15417) = 1
LCM(15413,15417) = ( 15413 × 15417) / 1
LCM(15413,15417) = 237622221 / 1
LCM(15413,15417) = 237622221

Properties of LCM 15413 and 15417

(i) The LCM of 15417 and 15413 is associative

LCM of 15413 and 15417 = LCM of 15417 and 15413

Related Least Common Multiples of 15413

Related Least Common Multiples of 15417

Frequently Asked Questions on LCM of 15413 and 15417

1. What is the LCM of 15413 and 15417?

Answer: LCM of 15413 and 15417 is 237622221.

2. What are the Factors of 15413?

Answer: Factors of 15413 are 1, 15413. There are 2 integers that are factors of 15413. The greatest factor of 15413 is 15413.

3. What are the Factors of 15417?

Answer: Factors of 15417 are 1, 3, 9, 27, 571, 1713, 5139, 15417. There are 8 integers that are factors of 15417. The greatest factor of 15417 is 15417.

4. How to Find the LCM of 15413 and 15417?

Answer:

Least Common Multiple of 15413 and 15417 = 237622221

Step 1: Find the prime factorization of 15413

15413 = 15413

Step 2: Find the prime factorization of 15417

15417 = 3 x 3 x 3 x 571

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

LCM = 237622221 = 3 x 3 x 3 x 571 x 15413

Step 4: Therefore, the least common multiple of 15413 and 15417 is 237622221.