Least Common Multiple of 5414 and 5421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5414 and 5421 the smallest integer that is 29349294 that is divisible by both numbers.

Least Common Multiple (LCM) of 5414 and 5421 is 29349294.

LCM(5414,5421) = 29349294

LCM of 5414 and 5421

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

LCM of:
and

Least Common Multiple of 5414 and 5421

LCM of 5414 and 5421 is 29349294

Least common multiple can be found by multiplying the highest exponent prime factors of 5414 and 5421. First we will calculate the prime factors of 5414 and 5421.

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

Prime Factorization of 5421


3 5421
13 1807
139 139
1

Prime factors of 5421 are 3, 13,139. Prime factorization of 5421 in exponential form is:

5421 = 31×131×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5414 and 5421.

LCM(5414,5421) = 21×31×131×1391×27071
LCM(5414,5421) = 29349294

Factors of 5414

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

1, 2, 2707, 5414

Factors of 5421

List of positive integer factors of 5421 that divides 5421 without a remainder.

1, 3, 13, 39, 139, 417, 1807, 5421

Least Common Multiple of 5414 and 5421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5414 and 5421, than apply into the LCM equation.

GCF(5414,5421) = 1
LCM(5414,5421) = ( 5414 × 5421) / 1
LCM(5414,5421) = 29349294 / 1
LCM(5414,5421) = 29349294

Properties of LCM 5414 and 5421

(i) The LCM of 5421 and 5414 is associative

LCM of 5414 and 5421 = LCM of 5421 and 5414

Related Least Common Multiples of 5414

Related Least Common Multiples of 5421

Frequently Asked Questions on LCM of 5414 and 5421

1. What is the LCM of 5414 and 5421?

Answer: LCM of 5414 and 5421 is 29349294.

2. 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.

3. What are the Factors of 5421?

Answer: Factors of 5421 are 1, 3, 13, 39, 139, 417, 1807, 5421. There are 8 integers that are factors of 5421. The greatest factor of 5421 is 5421.

4. How to Find the LCM of 5414 and 5421?

Answer:

Least Common Multiple of 5414 and 5421 = 29349294

Step 1: Find the prime factorization of 5414

5414 = 2 x 2707

Step 2: Find the prime factorization of 5421

5421 = 3 x 13 x 139

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

LCM = 29349294 = 2 x 3 x 13 x 139 x 2707

Step 4: Therefore, the least common multiple of 5414 and 5421 is 29349294.