Least Common Multiple of 15407 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 15407 and 15411 the smallest integer that is 237437277 that is divisible by both numbers.

Least Common Multiple (LCM) of 15407 and 15411 is 237437277.

LCM(15407,15411) = 237437277

LCM of 15407 and 15411

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

LCM of:
and

Least Common Multiple of 15407 and 15411

LCM of 15407 and 15411 is 237437277

Least common multiple can be found by multiplying the highest exponent prime factors of 15407 and 15411. First we will calculate the prime factors of 15407 and 15411.

Prime Factorization of 15407


7 15407
31 2201
71 71
1

Prime factors of 15407 are 7, 31,71. Prime factorization of 15407 in exponential form is:

15407 = 71×311×711

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 15407 and 15411.

LCM(15407,15411) = 31×71×111×311×711×4671
LCM(15407,15411) = 237437277

Factors of 15407

List of positive integer factors of 15407 that divides 15407 without a remainder.

1, 7, 31, 71, 217, 497, 2201, 15407

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 15407 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 15407 and 15411, than apply into the LCM equation.

GCF(15407,15411) = 1
LCM(15407,15411) = ( 15407 × 15411) / 1
LCM(15407,15411) = 237437277 / 1
LCM(15407,15411) = 237437277

Properties of LCM 15407 and 15411

(i) The LCM of 15411 and 15407 is associative

LCM of 15407 and 15411 = LCM of 15411 and 15407

Related Least Common Multiples of 15407

Related Least Common Multiples of 15411

Frequently Asked Questions on LCM of 15407 and 15411

1. What is the LCM of 15407 and 15411?

Answer: LCM of 15407 and 15411 is 237437277.

2. What are the Factors of 15407?

Answer: Factors of 15407 are 1, 7, 31, 71, 217, 497, 2201, 15407. There are 8 integers that are factors of 15407. The greatest factor of 15407 is 15407.

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 15407 and 15411?

Answer:

Least Common Multiple of 15407 and 15411 = 237437277

Step 1: Find the prime factorization of 15407

15407 = 7 x 31 x 71

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 = 237437277 = 3 x 7 x 11 x 31 x 71 x 467

Step 4: Therefore, the least common multiple of 15407 and 15411 is 237437277.