Least Common Multiple of 15406 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 15406 and 15411 the smallest integer that is 237421866 that is divisible by both numbers.

Least Common Multiple (LCM) of 15406 and 15411 is 237421866.

LCM(15406,15411) = 237421866

LCM of 15406 and 15411

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

LCM of:
and

Least Common Multiple of 15406 and 15411

LCM of 15406 and 15411 is 237421866

Least common multiple can be found by multiplying the highest exponent prime factors of 15406 and 15411. First we will calculate the prime factors of 15406 and 15411.

Prime Factorization of 15406


2 15406
7703 7703
1

Prime factors of 15406 are 2,7703. Prime factorization of 15406 in exponential form is:

15406 = 21×77031

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 15406 and 15411.

LCM(15406,15411) = 21×31×111×4671×77031
LCM(15406,15411) = 237421866

Factors of 15406

List of positive integer factors of 15406 that divides 15406 without a remainder.

1, 2, 7703, 15406

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 15406 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 15406 and 15411, than apply into the LCM equation.

GCF(15406,15411) = 1
LCM(15406,15411) = ( 15406 × 15411) / 1
LCM(15406,15411) = 237421866 / 1
LCM(15406,15411) = 237421866

Properties of LCM 15406 and 15411

(i) The LCM of 15411 and 15406 is associative

LCM of 15406 and 15411 = LCM of 15411 and 15406

Related Least Common Multiples of 15406

Related Least Common Multiples of 15411

Frequently Asked Questions on LCM of 15406 and 15411

1. What is the LCM of 15406 and 15411?

Answer: LCM of 15406 and 15411 is 237421866.

2. What are the Factors of 15406?

Answer: Factors of 15406 are 1, 2, 7703, 15406. There are 4 integers that are factors of 15406. The greatest factor of 15406 is 15406.

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 15406 and 15411?

Answer:

Least Common Multiple of 15406 and 15411 = 237421866

Step 1: Find the prime factorization of 15406

15406 = 2 x 7703

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 = 237421866 = 2 x 3 x 11 x 467 x 7703

Step 4: Therefore, the least common multiple of 15406 and 15411 is 237421866.