Least Common Multiple of 5407 and 5414

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 5414 the smallest integer that is 29273498 that is divisible by both numbers.

Least Common Multiple (LCM) of 5407 and 5414 is 29273498.

LCM(5407,5414) = 29273498

LCM of 5407 and 5414

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

LCM of:
and

Least Common Multiple of 5407 and 5414

LCM of 5407 and 5414 is 29273498

Least common multiple can be found by multiplying the highest exponent prime factors of 5407 and 5414. First we will calculate the prime factors of 5407 and 5414.

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 5414


2 5414
2707 2707
1

Prime factors of 5414 are 2,2707. Prime factorization of 5414 in exponential form is:

5414 = 21×27071

Now multiplying the highest exponent prime factors to calculate the LCM of 5407 and 5414.

LCM(5407,5414) = 21×27071×54071
LCM(5407,5414) = 29273498

Factors of 5407

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

1, 5407

Factors of 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1, 2, 2707, 5414

Least Common Multiple of 5407 and 5414 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 5414, than apply into the LCM equation.

GCF(5407,5414) = 1
LCM(5407,5414) = ( 5407 × 5414) / 1
LCM(5407,5414) = 29273498 / 1
LCM(5407,5414) = 29273498

Properties of LCM 5407 and 5414

(i) The LCM of 5414 and 5407 is associative

LCM of 5407 and 5414 = LCM of 5414 and 5407

Related Least Common Multiples of 5407

Related Least Common Multiples of 5414

Frequently Asked Questions on LCM of 5407 and 5414

1. What is the LCM of 5407 and 5414?

Answer: LCM of 5407 and 5414 is 29273498.

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 5414?

Answer: Factors of 5414 are 1, 2, 2707, 5414. There are 4 integers that are factors of 5414. The greatest factor of 5414 is 5414.

4. How to Find the LCM of 5407 and 5414?

Answer:

Least Common Multiple of 5407 and 5414 = 29273498

Step 1: Find the prime factorization of 5407

5407 = 5407

Step 2: Find the prime factorization of 5414

5414 = 2 x 2707

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

LCM = 29273498 = 2 x 2707 x 5407

Step 4: Therefore, the least common multiple of 5407 and 5414 is 29273498.