Least Common Multiple of 15300 and 15305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15300 and 15305 the smallest integer that is 46833300 that is divisible by both numbers.

Least Common Multiple (LCM) of 15300 and 15305 is 46833300.

LCM(15300,15305) = 46833300

LCM of 15300 and 15305

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

LCM of:
and

Least Common Multiple of 15300 and 15305

LCM of 15300 and 15305 is 46833300

Least common multiple can be found by multiplying the highest exponent prime factors of 15300 and 15305. First we will calculate the prime factors of 15300 and 15305.

Prime Factorization of 15300


2 15300
2 7650
3 3825
3 1275
5 425
5 85
17 17
1

Prime factors of 15300 are 2, 3, 5,17. Prime factorization of 15300 in exponential form is:

15300 = 22×32×52×171

Prime Factorization of 15305


5 15305
3061 3061
1

Prime factors of 15305 are 5,3061. Prime factorization of 15305 in exponential form is:

15305 = 51×30611

Now multiplying the highest exponent prime factors to calculate the LCM of 15300 and 15305.

LCM(15300,15305) = 22×32×52×171×30611
LCM(15300,15305) = 46833300

Factors of 15300

List of positive integer factors of 15300 that divides 15300 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 25, 30, 34, 36, 45, 50, 51, 60, 68, 75, 85, 90, 100, 102, 150, 153, 170, 180, 204, 225, 255, 300, 306, 340, 425, 450, 510, 612, 765, 850, 900, 1020, 1275, 1530, 1700, 2550, 3060, 3825, 5100, 7650, 15300

Factors of 15305

List of positive integer factors of 15305 that divides 15305 without a remainder.

1, 5, 3061, 15305

Least Common Multiple of 15300 and 15305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15300 and 15305, than apply into the LCM equation.

GCF(15300,15305) = 5
LCM(15300,15305) = ( 15300 × 15305) / 5
LCM(15300,15305) = 234166500 / 5
LCM(15300,15305) = 46833300

Properties of LCM 15300 and 15305

(i) The LCM of 15305 and 15300 is associative

LCM of 15300 and 15305 = LCM of 15305 and 15300

Related Least Common Multiples of 15300

Related Least Common Multiples of 15305

Frequently Asked Questions on LCM of 15300 and 15305

1. What is the LCM of 15300 and 15305?

Answer: LCM of 15300 and 15305 is 46833300.

2. What are the Factors of 15300?

Answer: Factors of 15300 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 25, 30, 34, 36, 45, 50, 51, 60, 68, 75, 85, 90, 100, 102, 150, 153, 170, 180, 204, 225, 255, 300, 306, 340, 425, 450, 510, 612, 765, 850, 900, 1020, 1275, 1530, 1700, 2550, 3060, 3825, 5100, 7650, 15300. There are 54 integers that are factors of 15300. The greatest factor of 15300 is 15300.

3. What are the Factors of 15305?

Answer: Factors of 15305 are 1, 5, 3061, 15305. There are 4 integers that are factors of 15305. The greatest factor of 15305 is 15305.

4. How to Find the LCM of 15300 and 15305?

Answer:

Least Common Multiple of 15300 and 15305 = 46833300

Step 1: Find the prime factorization of 15300

15300 = 2 x 2 x 3 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 15305

15305 = 5 x 3061

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

LCM = 46833300 = 2 x 2 x 3 x 3 x 5 x 5 x 17 x 3061

Step 4: Therefore, the least common multiple of 15300 and 15305 is 46833300.