Least Common Multiple of 5407 and 5415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5407 and 5415 the smallest integer that is 29278905 that is divisible by both numbers.

Least Common Multiple (LCM) of 5407 and 5415 is 29278905.

LCM(5407,5415) = 29278905

LCM of 5407 and 5415

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

LCM of:
and

Least Common Multiple of 5407 and 5415

LCM of 5407 and 5415 is 29278905

Least common multiple can be found by multiplying the highest exponent prime factors of 5407 and 5415. First we will calculate the prime factors of 5407 and 5415.

Prime Factorization of 5407


5407 5407
1

Prime factors of 5407 are 5407. Prime factorization of 5407 in exponential form is:

5407 = 54071

Prime Factorization of 5415


3 5415
5 1805
19 361
19 19
1

Prime factors of 5415 are 3, 5,19. Prime factorization of 5415 in exponential form is:

5415 = 31×51×192

Now multiplying the highest exponent prime factors to calculate the LCM of 5407 and 5415.

LCM(5407,5415) = 31×51×192×54071
LCM(5407,5415) = 29278905

Factors of 5407

List of positive integer factors of 5407 that divides 5407 without a remainder.

1, 5407

Factors of 5415

List of positive integer factors of 5415 that divides 5415 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415

Least Common Multiple of 5407 and 5415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5407 and 5415, than apply into the LCM equation.

GCF(5407,5415) = 1
LCM(5407,5415) = ( 5407 × 5415) / 1
LCM(5407,5415) = 29278905 / 1
LCM(5407,5415) = 29278905

Properties of LCM 5407 and 5415

(i) The LCM of 5415 and 5407 is associative

LCM of 5407 and 5415 = LCM of 5415 and 5407

Related Least Common Multiples of 5407

Related Least Common Multiples of 5415

Frequently Asked Questions on LCM of 5407 and 5415

1. What is the LCM of 5407 and 5415?

Answer: LCM of 5407 and 5415 is 29278905.

2. What are the Factors of 5407?

Answer: Factors of 5407 are 1, 5407. There are 2 integers that are factors of 5407. The greatest factor of 5407 is 5407.

3. What are the Factors of 5415?

Answer: Factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415. There are 12 integers that are factors of 5415. The greatest factor of 5415 is 5415.

4. How to Find the LCM of 5407 and 5415?

Answer:

Least Common Multiple of 5407 and 5415 = 29278905

Step 1: Find the prime factorization of 5407

5407 = 5407

Step 2: Find the prime factorization of 5415

5415 = 3 x 5 x 19 x 19

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

LCM = 29278905 = 3 x 5 x 19 x 19 x 5407

Step 4: Therefore, the least common multiple of 5407 and 5415 is 29278905.