Least Common Multiple of 15420 and 15424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15420 and 15424 the smallest integer that is 59459520 that is divisible by both numbers.

Least Common Multiple (LCM) of 15420 and 15424 is 59459520.

LCM(15420,15424) = 59459520

LCM of 15420 and 15424

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

LCM of:
and

Least Common Multiple of 15420 and 15424

LCM of 15420 and 15424 is 59459520

Least common multiple can be found by multiplying the highest exponent prime factors of 15420 and 15424. First we will calculate the prime factors of 15420 and 15424.

Prime Factorization of 15420


2 15420
2 7710
3 3855
5 1285
257 257
1

Prime factors of 15420 are 2, 3, 5,257. Prime factorization of 15420 in exponential form is:

15420 = 22×31×51×2571

Prime Factorization of 15424


2 15424
2 7712
2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 15424 are 2,241. Prime factorization of 15424 in exponential form is:

15424 = 26×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 15420 and 15424.

LCM(15420,15424) = 26×31×51×2411×2571
LCM(15420,15424) = 59459520

Factors of 15420

List of positive integer factors of 15420 that divides 15420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 257, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 7710, 15420

Factors of 15424

List of positive integer factors of 15424 that divides 15424 without a remainder.

1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424

Least Common Multiple of 15420 and 15424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15420 and 15424, than apply into the LCM equation.

GCF(15420,15424) = 4
LCM(15420,15424) = ( 15420 × 15424) / 4
LCM(15420,15424) = 237838080 / 4
LCM(15420,15424) = 59459520

Properties of LCM 15420 and 15424

(i) The LCM of 15424 and 15420 is associative

LCM of 15420 and 15424 = LCM of 15424 and 15420

Related Least Common Multiples of 15420

Related Least Common Multiples of 15424

Frequently Asked Questions on LCM of 15420 and 15424

1. What is the LCM of 15420 and 15424?

Answer: LCM of 15420 and 15424 is 59459520.

2. What are the Factors of 15420?

Answer: Factors of 15420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 257, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 7710, 15420. There are 24 integers that are factors of 15420. The greatest factor of 15420 is 15420.

3. What are the Factors of 15424?

Answer: Factors of 15424 are 1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424. There are 14 integers that are factors of 15424. The greatest factor of 15424 is 15424.

4. How to Find the LCM of 15420 and 15424?

Answer:

Least Common Multiple of 15420 and 15424 = 59459520

Step 1: Find the prime factorization of 15420

15420 = 2 x 2 x 3 x 5 x 257

Step 2: Find the prime factorization of 15424

15424 = 2 x 2 x 2 x 2 x 2 x 2 x 241

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

LCM = 59459520 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 241 x 257

Step 4: Therefore, the least common multiple of 15420 and 15424 is 59459520.