Least Common Multiple of 15308 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 15308 and 15314 the smallest integer that is 117213356 that is divisible by both numbers.

Least Common Multiple (LCM) of 15308 and 15314 is 117213356.

LCM(15308,15314) = 117213356

LCM of 15308 and 15314

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

LCM of:
and

Least Common Multiple of 15308 and 15314

LCM of 15308 and 15314 is 117213356

Least common multiple can be found by multiplying the highest exponent prime factors of 15308 and 15314. First we will calculate the prime factors of 15308 and 15314.

Prime Factorization of 15308


2 15308
2 7654
43 3827
89 89
1

Prime factors of 15308 are 2, 43,89. Prime factorization of 15308 in exponential form is:

15308 = 22×431×891

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 15308 and 15314.

LCM(15308,15314) = 22×131×191×311×431×891
LCM(15308,15314) = 117213356

Factors of 15308

List of positive integer factors of 15308 that divides 15308 without a remainder.

1, 2, 4, 43, 86, 89, 172, 178, 356, 3827, 7654, 15308

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 15308 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 15308 and 15314, than apply into the LCM equation.

GCF(15308,15314) = 2
LCM(15308,15314) = ( 15308 × 15314) / 2
LCM(15308,15314) = 234426712 / 2
LCM(15308,15314) = 117213356

Properties of LCM 15308 and 15314

(i) The LCM of 15314 and 15308 is associative

LCM of 15308 and 15314 = LCM of 15314 and 15308

Related Least Common Multiples of 15308

Related Least Common Multiples of 15314

Frequently Asked Questions on LCM of 15308 and 15314

1. What is the LCM of 15308 and 15314?

Answer: LCM of 15308 and 15314 is 117213356.

2. What are the Factors of 15308?

Answer: Factors of 15308 are 1, 2, 4, 43, 86, 89, 172, 178, 356, 3827, 7654, 15308. There are 12 integers that are factors of 15308. The greatest factor of 15308 is 15308.

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 15308 and 15314?

Answer:

Least Common Multiple of 15308 and 15314 = 117213356

Step 1: Find the prime factorization of 15308

15308 = 2 x 2 x 43 x 89

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 = 117213356 = 2 x 2 x 13 x 19 x 31 x 43 x 89

Step 4: Therefore, the least common multiple of 15308 and 15314 is 117213356.