Least Common Multiple of 15303 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 15303 and 15308 the smallest integer that is 234258324 that is divisible by both numbers.

Least Common Multiple (LCM) of 15303 and 15308 is 234258324.

LCM(15303,15308) = 234258324

LCM of 15303 and 15308

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

LCM of:
and

Least Common Multiple of 15303 and 15308

LCM of 15303 and 15308 is 234258324

Least common multiple can be found by multiplying the highest exponent prime factors of 15303 and 15308. First we will calculate the prime factors of 15303 and 15308.

Prime Factorization of 15303


3 15303
5101 5101
1

Prime factors of 15303 are 3,5101. Prime factorization of 15303 in exponential form is:

15303 = 31×51011

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 15303 and 15308.

LCM(15303,15308) = 22×31×431×891×51011
LCM(15303,15308) = 234258324

Factors of 15303

List of positive integer factors of 15303 that divides 15303 without a remainder.

1, 3, 5101, 15303

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 15303 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 15303 and 15308, than apply into the LCM equation.

GCF(15303,15308) = 1
LCM(15303,15308) = ( 15303 × 15308) / 1
LCM(15303,15308) = 234258324 / 1
LCM(15303,15308) = 234258324

Properties of LCM 15303 and 15308

(i) The LCM of 15308 and 15303 is associative

LCM of 15303 and 15308 = LCM of 15308 and 15303

Related Least Common Multiples of 15303

Related Least Common Multiples of 15308

Frequently Asked Questions on LCM of 15303 and 15308

1. What is the LCM of 15303 and 15308?

Answer: LCM of 15303 and 15308 is 234258324.

2. What are the Factors of 15303?

Answer: Factors of 15303 are 1, 3, 5101, 15303. There are 4 integers that are factors of 15303. The greatest factor of 15303 is 15303.

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 15303 and 15308?

Answer:

Least Common Multiple of 15303 and 15308 = 234258324

Step 1: Find the prime factorization of 15303

15303 = 3 x 5101

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 = 234258324 = 2 x 2 x 3 x 43 x 89 x 5101

Step 4: Therefore, the least common multiple of 15303 and 15308 is 234258324.