Least Common Multiple of 5419 and 5427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5419 and 5427 the smallest integer that is 29408913 that is divisible by both numbers.

Least Common Multiple (LCM) of 5419 and 5427 is 29408913.

LCM(5419,5427) = 29408913

LCM of 5419 and 5427

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

LCM of:
and

Least Common Multiple of 5419 and 5427

LCM of 5419 and 5427 is 29408913

Least common multiple can be found by multiplying the highest exponent prime factors of 5419 and 5427. First we will calculate the prime factors of 5419 and 5427.

Prime Factorization of 5419


5419 5419
1

Prime factors of 5419 are 5419. Prime factorization of 5419 in exponential form is:

5419 = 54191

Prime Factorization of 5427


3 5427
3 1809
3 603
3 201
67 67
1

Prime factors of 5427 are 3,67. Prime factorization of 5427 in exponential form is:

5427 = 34×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5419 and 5427.

LCM(5419,5427) = 34×671×54191
LCM(5419,5427) = 29408913

Factors of 5419

List of positive integer factors of 5419 that divides 5419 without a remainder.

1, 5419

Factors of 5427

List of positive integer factors of 5427 that divides 5427 without a remainder.

1, 3, 9, 27, 67, 81, 201, 603, 1809, 5427

Least Common Multiple of 5419 and 5427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5419 and 5427, than apply into the LCM equation.

GCF(5419,5427) = 1
LCM(5419,5427) = ( 5419 × 5427) / 1
LCM(5419,5427) = 29408913 / 1
LCM(5419,5427) = 29408913

Properties of LCM 5419 and 5427

(i) The LCM of 5427 and 5419 is associative

LCM of 5419 and 5427 = LCM of 5427 and 5419

Related Least Common Multiples of 5419

Related Least Common Multiples of 5427

Frequently Asked Questions on LCM of 5419 and 5427

1. What is the LCM of 5419 and 5427?

Answer: LCM of 5419 and 5427 is 29408913.

2. What are the Factors of 5419?

Answer: Factors of 5419 are 1, 5419. There are 2 integers that are factors of 5419. The greatest factor of 5419 is 5419.

3. What are the Factors of 5427?

Answer: Factors of 5427 are 1, 3, 9, 27, 67, 81, 201, 603, 1809, 5427. There are 10 integers that are factors of 5427. The greatest factor of 5427 is 5427.

4. How to Find the LCM of 5419 and 5427?

Answer:

Least Common Multiple of 5419 and 5427 = 29408913

Step 1: Find the prime factorization of 5419

5419 = 5419

Step 2: Find the prime factorization of 5427

5427 = 3 x 3 x 3 x 3 x 67

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

LCM = 29408913 = 3 x 3 x 3 x 3 x 67 x 5419

Step 4: Therefore, the least common multiple of 5419 and 5427 is 29408913.