Least Common Multiple of 15300 and 15308

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 15308 the smallest integer that is 58553100 that is divisible by both numbers.

Least Common Multiple (LCM) of 15300 and 15308 is 58553100.

LCM(15300,15308) = 58553100

LCM of 15300 and 15308

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

LCM of:
and

Least Common Multiple of 15300 and 15308

LCM of 15300 and 15308 is 58553100

Least common multiple can be found by multiplying the highest exponent prime factors of 15300 and 15308. First we will calculate the prime factors of 15300 and 15308.

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 15308


2 15308
2 7654
43 3827
89 89
1

Prime factors of 15308 are 2, 43,89. Prime factorization of 15308 in exponential form is:

15308 = 22×431×891

Now multiplying the highest exponent prime factors to calculate the LCM of 15300 and 15308.

LCM(15300,15308) = 22×32×52×171×431×891
LCM(15300,15308) = 58553100

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 15308

List of positive integer factors of 15308 that divides 15308 without a remainder.

1, 2, 4, 43, 86, 89, 172, 178, 356, 3827, 7654, 15308

Least Common Multiple of 15300 and 15308 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 15308, than apply into the LCM equation.

GCF(15300,15308) = 4
LCM(15300,15308) = ( 15300 × 15308) / 4
LCM(15300,15308) = 234212400 / 4
LCM(15300,15308) = 58553100

Properties of LCM 15300 and 15308

(i) The LCM of 15308 and 15300 is associative

LCM of 15300 and 15308 = LCM of 15308 and 15300

Related Least Common Multiples of 15300

Related Least Common Multiples of 15308

Frequently Asked Questions on LCM of 15300 and 15308

1. What is the LCM of 15300 and 15308?

Answer: LCM of 15300 and 15308 is 58553100.

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 15308?

Answer: Factors of 15308 are 1, 2, 4, 43, 86, 89, 172, 178, 356, 3827, 7654, 15308. There are 12 integers that are factors of 15308. The greatest factor of 15308 is 15308.

4. How to Find the LCM of 15300 and 15308?

Answer:

Least Common Multiple of 15300 and 15308 = 58553100

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 15308

15308 = 2 x 2 x 43 x 89

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

LCM = 58553100 = 2 x 2 x 3 x 3 x 5 x 5 x 17 x 43 x 89

Step 4: Therefore, the least common multiple of 15300 and 15308 is 58553100.