Least Common Multiple of 15310 and 15318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15310 and 15318 the smallest integer that is 117259290 that is divisible by both numbers.

Least Common Multiple (LCM) of 15310 and 15318 is 117259290.

LCM(15310,15318) = 117259290

LCM of 15310 and 15318

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

LCM of:
and

Least Common Multiple of 15310 and 15318

LCM of 15310 and 15318 is 117259290

Least common multiple can be found by multiplying the highest exponent prime factors of 15310 and 15318. First we will calculate the prime factors of 15310 and 15318.

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

Prime Factorization of 15318


2 15318
3 7659
3 2553
23 851
37 37
1

Prime factors of 15318 are 2, 3, 23,37. Prime factorization of 15318 in exponential form is:

15318 = 21×32×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 15310 and 15318.

LCM(15310,15318) = 21×32×51×231×371×15311
LCM(15310,15318) = 117259290

Factors of 15310

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

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

Factors of 15318

List of positive integer factors of 15318 that divides 15318 without a remainder.

1, 2, 3, 6, 9, 18, 23, 37, 46, 69, 74, 111, 138, 207, 222, 333, 414, 666, 851, 1702, 2553, 5106, 7659, 15318

Least Common Multiple of 15310 and 15318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15310 and 15318, than apply into the LCM equation.

GCF(15310,15318) = 2
LCM(15310,15318) = ( 15310 × 15318) / 2
LCM(15310,15318) = 234518580 / 2
LCM(15310,15318) = 117259290

Properties of LCM 15310 and 15318

(i) The LCM of 15318 and 15310 is associative

LCM of 15310 and 15318 = LCM of 15318 and 15310

Related Least Common Multiples of 15310

Related Least Common Multiples of 15318

Frequently Asked Questions on LCM of 15310 and 15318

1. What is the LCM of 15310 and 15318?

Answer: LCM of 15310 and 15318 is 117259290.

2. 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.

3. What are the Factors of 15318?

Answer: Factors of 15318 are 1, 2, 3, 6, 9, 18, 23, 37, 46, 69, 74, 111, 138, 207, 222, 333, 414, 666, 851, 1702, 2553, 5106, 7659, 15318. There are 24 integers that are factors of 15318. The greatest factor of 15318 is 15318.

4. How to Find the LCM of 15310 and 15318?

Answer:

Least Common Multiple of 15310 and 15318 = 117259290

Step 1: Find the prime factorization of 15310

15310 = 2 x 5 x 1531

Step 2: Find the prime factorization of 15318

15318 = 2 x 3 x 3 x 23 x 37

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

LCM = 117259290 = 2 x 3 x 3 x 5 x 23 x 37 x 1531

Step 4: Therefore, the least common multiple of 15310 and 15318 is 117259290.