Least Common Multiple of 15310 and 15314

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 15314 the smallest integer that is 117228670 that is divisible by both numbers.

Least Common Multiple (LCM) of 15310 and 15314 is 117228670.

LCM(15310,15314) = 117228670

LCM of 15310 and 15314

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

LCM of:
and

Least Common Multiple of 15310 and 15314

LCM of 15310 and 15314 is 117228670

Least common multiple can be found by multiplying the highest exponent prime factors of 15310 and 15314. First we will calculate the prime factors of 15310 and 15314.

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 15314


2 15314
13 7657
19 589
31 31
1

Prime factors of 15314 are 2, 13, 19,31. Prime factorization of 15314 in exponential form is:

15314 = 21×131×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 15310 and 15314.

LCM(15310,15314) = 21×51×131×191×311×15311
LCM(15310,15314) = 117228670

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 15314

List of positive integer factors of 15314 that divides 15314 without a remainder.

1, 2, 13, 19, 26, 31, 38, 62, 247, 403, 494, 589, 806, 1178, 7657, 15314

Least Common Multiple of 15310 and 15314 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 15314, than apply into the LCM equation.

GCF(15310,15314) = 2
LCM(15310,15314) = ( 15310 × 15314) / 2
LCM(15310,15314) = 234457340 / 2
LCM(15310,15314) = 117228670

Properties of LCM 15310 and 15314

(i) The LCM of 15314 and 15310 is associative

LCM of 15310 and 15314 = LCM of 15314 and 15310

Related Least Common Multiples of 15310

Related Least Common Multiples of 15314

Frequently Asked Questions on LCM of 15310 and 15314

1. What is the LCM of 15310 and 15314?

Answer: LCM of 15310 and 15314 is 117228670.

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 15314?

Answer: Factors of 15314 are 1, 2, 13, 19, 26, 31, 38, 62, 247, 403, 494, 589, 806, 1178, 7657, 15314. There are 16 integers that are factors of 15314. The greatest factor of 15314 is 15314.

4. How to Find the LCM of 15310 and 15314?

Answer:

Least Common Multiple of 15310 and 15314 = 117228670

Step 1: Find the prime factorization of 15310

15310 = 2 x 5 x 1531

Step 2: Find the prime factorization of 15314

15314 = 2 x 13 x 19 x 31

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

LCM = 117228670 = 2 x 5 x 13 x 19 x 31 x 1531

Step 4: Therefore, the least common multiple of 15310 and 15314 is 117228670.