Least Common Multiple of 15353 and 15360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15353 and 15360 the smallest integer that is 235822080 that is divisible by both numbers.

Least Common Multiple (LCM) of 15353 and 15360 is 235822080.

LCM(15353,15360) = 235822080

LCM of 15353 and 15360

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

LCM of:
and

Least Common Multiple of 15353 and 15360

LCM of 15353 and 15360 is 235822080

Least common multiple can be found by multiplying the highest exponent prime factors of 15353 and 15360. First we will calculate the prime factors of 15353 and 15360.

Prime Factorization of 15353


13 15353
1181 1181
1

Prime factors of 15353 are 13,1181. Prime factorization of 15353 in exponential form is:

15353 = 131×11811

Prime Factorization of 15360


2 15360
2 7680
2 3840
2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 15360 are 2, 3,5. Prime factorization of 15360 in exponential form is:

15360 = 210×31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 15353 and 15360.

LCM(15353,15360) = 210×31×51×131×11811
LCM(15353,15360) = 235822080

Factors of 15353

List of positive integer factors of 15353 that divides 15353 without a remainder.

1, 13, 1181, 15353

Factors of 15360

List of positive integer factors of 15360 that divides 15360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1024, 1280, 1536, 1920, 2560, 3072, 3840, 5120, 7680, 15360

Least Common Multiple of 15353 and 15360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15353 and 15360, than apply into the LCM equation.

GCF(15353,15360) = 1
LCM(15353,15360) = ( 15353 × 15360) / 1
LCM(15353,15360) = 235822080 / 1
LCM(15353,15360) = 235822080

Properties of LCM 15353 and 15360

(i) The LCM of 15360 and 15353 is associative

LCM of 15353 and 15360 = LCM of 15360 and 15353

Related Least Common Multiples of 15353

Related Least Common Multiples of 15360

Frequently Asked Questions on LCM of 15353 and 15360

1. What is the LCM of 15353 and 15360?

Answer: LCM of 15353 and 15360 is 235822080.

2. What are the Factors of 15353?

Answer: Factors of 15353 are 1, 13, 1181, 15353. There are 4 integers that are factors of 15353. The greatest factor of 15353 is 15353.

3. What are the Factors of 15360?

Answer: Factors of 15360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1024, 1280, 1536, 1920, 2560, 3072, 3840, 5120, 7680, 15360. There are 44 integers that are factors of 15360. The greatest factor of 15360 is 15360.

4. How to Find the LCM of 15353 and 15360?

Answer:

Least Common Multiple of 15353 and 15360 = 235822080

Step 1: Find the prime factorization of 15353

15353 = 13 x 1181

Step 2: Find the prime factorization of 15360

15360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

LCM = 235822080 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 1181

Step 4: Therefore, the least common multiple of 15353 and 15360 is 235822080.