Least Common Multiple of 15319 and 15324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15319 and 15324 the smallest integer that is 234748356 that is divisible by both numbers.

Least Common Multiple (LCM) of 15319 and 15324 is 234748356.

LCM(15319,15324) = 234748356

LCM of 15319 and 15324

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

LCM of:
and

Least Common Multiple of 15319 and 15324

LCM of 15319 and 15324 is 234748356

Least common multiple can be found by multiplying the highest exponent prime factors of 15319 and 15324. First we will calculate the prime factors of 15319 and 15324.

Prime Factorization of 15319


15319 15319
1

Prime factors of 15319 are 15319. Prime factorization of 15319 in exponential form is:

15319 = 153191

Prime Factorization of 15324


2 15324
2 7662
3 3831
1277 1277
1

Prime factors of 15324 are 2, 3,1277. Prime factorization of 15324 in exponential form is:

15324 = 22×31×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 15319 and 15324.

LCM(15319,15324) = 22×31×12771×153191
LCM(15319,15324) = 234748356

Factors of 15319

List of positive integer factors of 15319 that divides 15319 without a remainder.

1, 15319

Factors of 15324

List of positive integer factors of 15324 that divides 15324 without a remainder.

1, 2, 3, 4, 6, 12, 1277, 2554, 3831, 5108, 7662, 15324

Least Common Multiple of 15319 and 15324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15319 and 15324, than apply into the LCM equation.

GCF(15319,15324) = 1
LCM(15319,15324) = ( 15319 × 15324) / 1
LCM(15319,15324) = 234748356 / 1
LCM(15319,15324) = 234748356

Properties of LCM 15319 and 15324

(i) The LCM of 15324 and 15319 is associative

LCM of 15319 and 15324 = LCM of 15324 and 15319

Related Least Common Multiples of 15319

Related Least Common Multiples of 15324

Frequently Asked Questions on LCM of 15319 and 15324

1. What is the LCM of 15319 and 15324?

Answer: LCM of 15319 and 15324 is 234748356.

2. What are the Factors of 15319?

Answer: Factors of 15319 are 1, 15319. There are 2 integers that are factors of 15319. The greatest factor of 15319 is 15319.

3. What are the Factors of 15324?

Answer: Factors of 15324 are 1, 2, 3, 4, 6, 12, 1277, 2554, 3831, 5108, 7662, 15324. There are 12 integers that are factors of 15324. The greatest factor of 15324 is 15324.

4. How to Find the LCM of 15319 and 15324?

Answer:

Least Common Multiple of 15319 and 15324 = 234748356

Step 1: Find the prime factorization of 15319

15319 = 15319

Step 2: Find the prime factorization of 15324

15324 = 2 x 2 x 3 x 1277

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

LCM = 234748356 = 2 x 2 x 3 x 1277 x 15319

Step 4: Therefore, the least common multiple of 15319 and 15324 is 234748356.