Least Common Multiple of 15303 and 15310

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 15310 the smallest integer that is 234288930 that is divisible by both numbers.

Least Common Multiple (LCM) of 15303 and 15310 is 234288930.

LCM(15303,15310) = 234288930

LCM of 15303 and 15310

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

LCM of:
and

Least Common Multiple of 15303 and 15310

LCM of 15303 and 15310 is 234288930

Least common multiple can be found by multiplying the highest exponent prime factors of 15303 and 15310. First we will calculate the prime factors of 15303 and 15310.

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 15310


2 15310
5 7655
1531 1531
1

Prime factors of 15310 are 2, 5,1531. Prime factorization of 15310 in exponential form is:

15310 = 21×51×15311

Now multiplying the highest exponent prime factors to calculate the LCM of 15303 and 15310.

LCM(15303,15310) = 21×31×51×15311×51011
LCM(15303,15310) = 234288930

Factors of 15303

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

1, 3, 5101, 15303

Factors of 15310

List of positive integer factors of 15310 that divides 15310 without a remainder.

1, 2, 5, 10, 1531, 3062, 7655, 15310

Least Common Multiple of 15303 and 15310 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 15310, than apply into the LCM equation.

GCF(15303,15310) = 1
LCM(15303,15310) = ( 15303 × 15310) / 1
LCM(15303,15310) = 234288930 / 1
LCM(15303,15310) = 234288930

Properties of LCM 15303 and 15310

(i) The LCM of 15310 and 15303 is associative

LCM of 15303 and 15310 = LCM of 15310 and 15303

Related Least Common Multiples of 15303

Related Least Common Multiples of 15310

Frequently Asked Questions on LCM of 15303 and 15310

1. What is the LCM of 15303 and 15310?

Answer: LCM of 15303 and 15310 is 234288930.

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 15310?

Answer: Factors of 15310 are 1, 2, 5, 10, 1531, 3062, 7655, 15310. There are 8 integers that are factors of 15310. The greatest factor of 15310 is 15310.

4. How to Find the LCM of 15303 and 15310?

Answer:

Least Common Multiple of 15303 and 15310 = 234288930

Step 1: Find the prime factorization of 15303

15303 = 3 x 5101

Step 2: Find the prime factorization of 15310

15310 = 2 x 5 x 1531

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

LCM = 234288930 = 2 x 3 x 5 x 1531 x 5101

Step 4: Therefore, the least common multiple of 15303 and 15310 is 234288930.