Least Common Multiple of 15411 and 15416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15411 and 15416 the smallest integer that is 237575976 that is divisible by both numbers.

Least Common Multiple (LCM) of 15411 and 15416 is 237575976.

LCM(15411,15416) = 237575976

LCM of 15411 and 15416

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

LCM of:
and

Least Common Multiple of 15411 and 15416

LCM of 15411 and 15416 is 237575976

Least common multiple can be found by multiplying the highest exponent prime factors of 15411 and 15416. First we will calculate the prime factors of 15411 and 15416.

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

Prime Factorization of 15416


2 15416
2 7708
2 3854
41 1927
47 47
1

Prime factors of 15416 are 2, 41,47. Prime factorization of 15416 in exponential form is:

15416 = 23×411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 15411 and 15416.

LCM(15411,15416) = 23×31×111×411×471×4671
LCM(15411,15416) = 237575976

Factors of 15411

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

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

Factors of 15416

List of positive integer factors of 15416 that divides 15416 without a remainder.

1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416

Least Common Multiple of 15411 and 15416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15411 and 15416, than apply into the LCM equation.

GCF(15411,15416) = 1
LCM(15411,15416) = ( 15411 × 15416) / 1
LCM(15411,15416) = 237575976 / 1
LCM(15411,15416) = 237575976

Properties of LCM 15411 and 15416

(i) The LCM of 15416 and 15411 is associative

LCM of 15411 and 15416 = LCM of 15416 and 15411

Related Least Common Multiples of 15411

Related Least Common Multiples of 15416

Frequently Asked Questions on LCM of 15411 and 15416

1. What is the LCM of 15411 and 15416?

Answer: LCM of 15411 and 15416 is 237575976.

2. 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.

3. What are the Factors of 15416?

Answer: Factors of 15416 are 1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416. There are 16 integers that are factors of 15416. The greatest factor of 15416 is 15416.

4. How to Find the LCM of 15411 and 15416?

Answer:

Least Common Multiple of 15411 and 15416 = 237575976

Step 1: Find the prime factorization of 15411

15411 = 3 x 11 x 467

Step 2: Find the prime factorization of 15416

15416 = 2 x 2 x 2 x 41 x 47

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

LCM = 237575976 = 2 x 2 x 2 x 3 x 11 x 41 x 47 x 467

Step 4: Therefore, the least common multiple of 15411 and 15416 is 237575976.