Least Common Multiple of 5420 and 5424

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 5424 the smallest integer that is 7349520 that is divisible by both numbers.

Least Common Multiple (LCM) of 5420 and 5424 is 7349520.

LCM(5420,5424) = 7349520

LCM of 5420 and 5424

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

LCM of:
and

Least Common Multiple of 5420 and 5424

LCM of 5420 and 5424 is 7349520

Least common multiple can be found by multiplying the highest exponent prime factors of 5420 and 5424. First we will calculate the prime factors of 5420 and 5424.

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 5424


2 5424
2 2712
2 1356
2 678
3 339
113 113
1

Prime factors of 5424 are 2, 3,113. Prime factorization of 5424 in exponential form is:

5424 = 24×31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5420 and 5424.

LCM(5420,5424) = 24×31×51×1131×2711
LCM(5420,5424) = 7349520

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 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424

Least Common Multiple of 5420 and 5424 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 5424, than apply into the LCM equation.

GCF(5420,5424) = 4
LCM(5420,5424) = ( 5420 × 5424) / 4
LCM(5420,5424) = 29398080 / 4
LCM(5420,5424) = 7349520

Properties of LCM 5420 and 5424

(i) The LCM of 5424 and 5420 is associative

LCM of 5420 and 5424 = LCM of 5424 and 5420

Related Least Common Multiples of 5420

Related Least Common Multiples of 5424

Frequently Asked Questions on LCM of 5420 and 5424

1. What is the LCM of 5420 and 5424?

Answer: LCM of 5420 and 5424 is 7349520.

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 5424?

Answer: Factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424. There are 20 integers that are factors of 5424. The greatest factor of 5424 is 5424.

4. How to Find the LCM of 5420 and 5424?

Answer:

Least Common Multiple of 5420 and 5424 = 7349520

Step 1: Find the prime factorization of 5420

5420 = 2 x 2 x 5 x 271

Step 2: Find the prime factorization of 5424

5424 = 2 x 2 x 2 x 2 x 3 x 113

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

LCM = 7349520 = 2 x 2 x 2 x 2 x 3 x 5 x 113 x 271

Step 4: Therefore, the least common multiple of 5420 and 5424 is 7349520.