Least Common Multiple of 5420 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 5420 and 5427 the smallest integer that is 29414340 that is divisible by both numbers.

Least Common Multiple (LCM) of 5420 and 5427 is 29414340.

LCM(5420,5427) = 29414340

LCM of 5420 and 5427

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

LCM of:
and

Least Common Multiple of 5420 and 5427

LCM of 5420 and 5427 is 29414340

Least common multiple can be found by multiplying the highest exponent prime factors of 5420 and 5427. First we will calculate the prime factors of 5420 and 5427.

Prime Factorization of 5420


2 5420
2 2710
5 1355
271 271
1

Prime factors of 5420 are 2, 5,271. Prime factorization of 5420 in exponential form is:

5420 = 22×51×2711

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 5420 and 5427.

LCM(5420,5427) = 22×34×51×671×2711
LCM(5420,5427) = 29414340

Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420

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 5420 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 5420 and 5427, than apply into the LCM equation.

GCF(5420,5427) = 1
LCM(5420,5427) = ( 5420 × 5427) / 1
LCM(5420,5427) = 29414340 / 1
LCM(5420,5427) = 29414340

Properties of LCM 5420 and 5427

(i) The LCM of 5427 and 5420 is associative

LCM of 5420 and 5427 = LCM of 5427 and 5420

Related Least Common Multiples of 5420

Related Least Common Multiples of 5427

Frequently Asked Questions on LCM of 5420 and 5427

1. What is the LCM of 5420 and 5427?

Answer: LCM of 5420 and 5427 is 29414340.

2. What are the Factors of 5420?

Answer: Factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420. There are 12 integers that are factors of 5420. The greatest factor of 5420 is 5420.

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 5420 and 5427?

Answer:

Least Common Multiple of 5420 and 5427 = 29414340

Step 1: Find the prime factorization of 5420

5420 = 2 x 2 x 5 x 271

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 = 29414340 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 67 x 271

Step 4: Therefore, the least common multiple of 5420 and 5427 is 29414340.