Least Common Multiple of 5420 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 5420 and 5428 the smallest integer that is 7354940 that is divisible by both numbers.

Least Common Multiple (LCM) of 5420 and 5428 is 7354940.

LCM(5420,5428) = 7354940

LCM of 5420 and 5428

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

LCM of:
and

Least Common Multiple of 5420 and 5428

LCM of 5420 and 5428 is 7354940

Least common multiple can be found by multiplying the highest exponent prime factors of 5420 and 5428. First we will calculate the prime factors of 5420 and 5428.

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 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 5420 and 5428.

LCM(5420,5428) = 22×51×231×591×2711
LCM(5420,5428) = 7354940

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 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 5420 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 5420 and 5428, than apply into the LCM equation.

GCF(5420,5428) = 4
LCM(5420,5428) = ( 5420 × 5428) / 4
LCM(5420,5428) = 29419760 / 4
LCM(5420,5428) = 7354940

Properties of LCM 5420 and 5428

(i) The LCM of 5428 and 5420 is associative

LCM of 5420 and 5428 = LCM of 5428 and 5420

Related Least Common Multiples of 5420

Related Least Common Multiples of 5428

Frequently Asked Questions on LCM of 5420 and 5428

1. What is the LCM of 5420 and 5428?

Answer: LCM of 5420 and 5428 is 7354940.

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 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 5420 and 5428?

Answer:

Least Common Multiple of 5420 and 5428 = 7354940

Step 1: Find the prime factorization of 5420

5420 = 2 x 2 x 5 x 271

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 = 7354940 = 2 x 2 x 5 x 23 x 59 x 271

Step 4: Therefore, the least common multiple of 5420 and 5428 is 7354940.