Least Common Multiple of 5421 and 5428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5421 and 5428 the smallest integer that is 29425188 that is divisible by both numbers.

Least Common Multiple (LCM) of 5421 and 5428 is 29425188.

LCM(5421,5428) = 29425188

LCM of 5421 and 5428

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

LCM of:
and

Least Common Multiple of 5421 and 5428

LCM of 5421 and 5428 is 29425188

Least common multiple can be found by multiplying the highest exponent prime factors of 5421 and 5428. First we will calculate the prime factors of 5421 and 5428.

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

Prime Factorization of 5428


2 5428
2 2714
23 1357
59 59
1

Prime factors of 5428 are 2, 23,59. Prime factorization of 5428 in exponential form is:

5428 = 22×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5421 and 5428.

LCM(5421,5428) = 22×31×131×231×591×1391
LCM(5421,5428) = 29425188

Factors of 5421

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

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

Factors of 5428

List of positive integer factors of 5428 that divides 5428 without a remainder.

1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428

Least Common Multiple of 5421 and 5428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5421 and 5428, than apply into the LCM equation.

GCF(5421,5428) = 1
LCM(5421,5428) = ( 5421 × 5428) / 1
LCM(5421,5428) = 29425188 / 1
LCM(5421,5428) = 29425188

Properties of LCM 5421 and 5428

(i) The LCM of 5428 and 5421 is associative

LCM of 5421 and 5428 = LCM of 5428 and 5421

Related Least Common Multiples of 5421

Related Least Common Multiples of 5428

Frequently Asked Questions on LCM of 5421 and 5428

1. What is the LCM of 5421 and 5428?

Answer: LCM of 5421 and 5428 is 29425188.

2. 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.

3. What are the Factors of 5428?

Answer: Factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428. There are 12 integers that are factors of 5428. The greatest factor of 5428 is 5428.

4. How to Find the LCM of 5421 and 5428?

Answer:

Least Common Multiple of 5421 and 5428 = 29425188

Step 1: Find the prime factorization of 5421

5421 = 3 x 13 x 139

Step 2: Find the prime factorization of 5428

5428 = 2 x 2 x 23 x 59

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

LCM = 29425188 = 2 x 2 x 3 x 13 x 23 x 59 x 139

Step 4: Therefore, the least common multiple of 5421 and 5428 is 29425188.