Least Common Multiple of 15299 and 15304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15299 and 15304 the smallest integer that is 234135896 that is divisible by both numbers.

Least Common Multiple (LCM) of 15299 and 15304 is 234135896.

LCM(15299,15304) = 234135896

LCM of 15299 and 15304

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

LCM of:
and

Least Common Multiple of 15299 and 15304

LCM of 15299 and 15304 is 234135896

Least common multiple can be found by multiplying the highest exponent prime factors of 15299 and 15304. First we will calculate the prime factors of 15299 and 15304.

Prime Factorization of 15299


15299 15299
1

Prime factors of 15299 are 15299. Prime factorization of 15299 in exponential form is:

15299 = 152991

Prime Factorization of 15304


2 15304
2 7652
2 3826
1913 1913
1

Prime factors of 15304 are 2,1913. Prime factorization of 15304 in exponential form is:

15304 = 23×19131

Now multiplying the highest exponent prime factors to calculate the LCM of 15299 and 15304.

LCM(15299,15304) = 23×19131×152991
LCM(15299,15304) = 234135896

Factors of 15299

List of positive integer factors of 15299 that divides 15299 without a remainder.

1, 15299

Factors of 15304

List of positive integer factors of 15304 that divides 15304 without a remainder.

1, 2, 4, 8, 1913, 3826, 7652, 15304

Least Common Multiple of 15299 and 15304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15299 and 15304, than apply into the LCM equation.

GCF(15299,15304) = 1
LCM(15299,15304) = ( 15299 × 15304) / 1
LCM(15299,15304) = 234135896 / 1
LCM(15299,15304) = 234135896

Properties of LCM 15299 and 15304

(i) The LCM of 15304 and 15299 is associative

LCM of 15299 and 15304 = LCM of 15304 and 15299

Related Least Common Multiples of 15299

Related Least Common Multiples of 15304

Frequently Asked Questions on LCM of 15299 and 15304

1. What is the LCM of 15299 and 15304?

Answer: LCM of 15299 and 15304 is 234135896.

2. What are the Factors of 15299?

Answer: Factors of 15299 are 1, 15299. There are 2 integers that are factors of 15299. The greatest factor of 15299 is 15299.

3. What are the Factors of 15304?

Answer: Factors of 15304 are 1, 2, 4, 8, 1913, 3826, 7652, 15304. There are 8 integers that are factors of 15304. The greatest factor of 15304 is 15304.

4. How to Find the LCM of 15299 and 15304?

Answer:

Least Common Multiple of 15299 and 15304 = 234135896

Step 1: Find the prime factorization of 15299

15299 = 15299

Step 2: Find the prime factorization of 15304

15304 = 2 x 2 x 2 x 1913

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

LCM = 234135896 = 2 x 2 x 2 x 1913 x 15299

Step 4: Therefore, the least common multiple of 15299 and 15304 is 234135896.