Least Common Multiple of 15420 and 15428

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 15428 the smallest integer that is 59474940 that is divisible by both numbers.

Least Common Multiple (LCM) of 15420 and 15428 is 59474940.

LCM(15420,15428) = 59474940

LCM of 15420 and 15428

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

LCM of:
and

Least Common Multiple of 15420 and 15428

LCM of 15420 and 15428 is 59474940

Least common multiple can be found by multiplying the highest exponent prime factors of 15420 and 15428. First we will calculate the prime factors of 15420 and 15428.

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 15428


2 15428
2 7714
7 3857
19 551
29 29
1

Prime factors of 15428 are 2, 7, 19,29. Prime factorization of 15428 in exponential form is:

15428 = 22×71×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 15420 and 15428.

LCM(15420,15428) = 22×31×51×71×191×291×2571
LCM(15420,15428) = 59474940

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 15428

List of positive integer factors of 15428 that divides 15428 without a remainder.

1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428

Least Common Multiple of 15420 and 15428 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 15428, than apply into the LCM equation.

GCF(15420,15428) = 4
LCM(15420,15428) = ( 15420 × 15428) / 4
LCM(15420,15428) = 237899760 / 4
LCM(15420,15428) = 59474940

Properties of LCM 15420 and 15428

(i) The LCM of 15428 and 15420 is associative

LCM of 15420 and 15428 = LCM of 15428 and 15420

Related Least Common Multiples of 15420

Related Least Common Multiples of 15428

Frequently Asked Questions on LCM of 15420 and 15428

1. What is the LCM of 15420 and 15428?

Answer: LCM of 15420 and 15428 is 59474940.

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 15428?

Answer: Factors of 15428 are 1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428. There are 24 integers that are factors of 15428. The greatest factor of 15428 is 15428.

4. How to Find the LCM of 15420 and 15428?

Answer:

Least Common Multiple of 15420 and 15428 = 59474940

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 15428

15428 = 2 x 2 x 7 x 19 x 29

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

LCM = 59474940 = 2 x 2 x 3 x 5 x 7 x 19 x 29 x 257

Step 4: Therefore, the least common multiple of 15420 and 15428 is 59474940.