Least Common Multiple of 15405 and 15411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15405 and 15411 the smallest integer that is 79135485 that is divisible by both numbers.

Least Common Multiple (LCM) of 15405 and 15411 is 79135485.

LCM(15405,15411) = 79135485

LCM of 15405 and 15411

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

LCM of:
and

Least Common Multiple of 15405 and 15411

LCM of 15405 and 15411 is 79135485

Least common multiple can be found by multiplying the highest exponent prime factors of 15405 and 15411. First we will calculate the prime factors of 15405 and 15411.

Prime Factorization of 15405


3 15405
5 5135
13 1027
79 79
1

Prime factors of 15405 are 3, 5, 13,79. Prime factorization of 15405 in exponential form is:

15405 = 31×51×131×791

Prime Factorization of 15411


3 15411
11 5137
467 467
1

Prime factors of 15411 are 3, 11,467. Prime factorization of 15411 in exponential form is:

15411 = 31×111×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 15405 and 15411.

LCM(15405,15411) = 31×51×111×131×791×4671
LCM(15405,15411) = 79135485

Factors of 15405

List of positive integer factors of 15405 that divides 15405 without a remainder.

1, 3, 5, 13, 15, 39, 65, 79, 195, 237, 395, 1027, 1185, 3081, 5135, 15405

Factors of 15411

List of positive integer factors of 15411 that divides 15411 without a remainder.

1, 3, 11, 33, 467, 1401, 5137, 15411

Least Common Multiple of 15405 and 15411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15405 and 15411, than apply into the LCM equation.

GCF(15405,15411) = 3
LCM(15405,15411) = ( 15405 × 15411) / 3
LCM(15405,15411) = 237406455 / 3
LCM(15405,15411) = 79135485

Properties of LCM 15405 and 15411

(i) The LCM of 15411 and 15405 is associative

LCM of 15405 and 15411 = LCM of 15411 and 15405

Related Least Common Multiples of 15405

Related Least Common Multiples of 15411

Frequently Asked Questions on LCM of 15405 and 15411

1. What is the LCM of 15405 and 15411?

Answer: LCM of 15405 and 15411 is 79135485.

2. What are the Factors of 15405?

Answer: Factors of 15405 are 1, 3, 5, 13, 15, 39, 65, 79, 195, 237, 395, 1027, 1185, 3081, 5135, 15405. There are 16 integers that are factors of 15405. The greatest factor of 15405 is 15405.

3. What are the Factors of 15411?

Answer: Factors of 15411 are 1, 3, 11, 33, 467, 1401, 5137, 15411. There are 8 integers that are factors of 15411. The greatest factor of 15411 is 15411.

4. How to Find the LCM of 15405 and 15411?

Answer:

Least Common Multiple of 15405 and 15411 = 79135485

Step 1: Find the prime factorization of 15405

15405 = 3 x 5 x 13 x 79

Step 2: Find the prime factorization of 15411

15411 = 3 x 11 x 467

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

LCM = 79135485 = 3 x 5 x 11 x 13 x 79 x 467

Step 4: Therefore, the least common multiple of 15405 and 15411 is 79135485.