Least Common Multiple of 26308 and 26314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26308 and 26314 the smallest integer that is 346134356 that is divisible by both numbers.

Least Common Multiple (LCM) of 26308 and 26314 is 346134356.

LCM(26308,26314) = 346134356

LCM of 26308 and 26314

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

LCM of:
and

Least Common Multiple of 26308 and 26314

LCM of 26308 and 26314 is 346134356

Least common multiple can be found by multiplying the highest exponent prime factors of 26308 and 26314. First we will calculate the prime factors of 26308 and 26314.

Prime Factorization of 26308


2 26308
2 13154
6577 6577
1

Prime factors of 26308 are 2,6577. Prime factorization of 26308 in exponential form is:

26308 = 22×65771

Prime Factorization of 26314


2 26314
59 13157
223 223
1

Prime factors of 26314 are 2, 59,223. Prime factorization of 26314 in exponential form is:

26314 = 21×591×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 26308 and 26314.

LCM(26308,26314) = 22×591×2231×65771
LCM(26308,26314) = 346134356

Factors of 26308

List of positive integer factors of 26308 that divides 26308 without a remainder.

1, 2, 4, 6577, 13154, 26308

Factors of 26314

List of positive integer factors of 26314 that divides 26314 without a remainder.

1, 2, 59, 118, 223, 446, 13157, 26314

Least Common Multiple of 26308 and 26314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26308 and 26314, than apply into the LCM equation.

GCF(26308,26314) = 2
LCM(26308,26314) = ( 26308 × 26314) / 2
LCM(26308,26314) = 692268712 / 2
LCM(26308,26314) = 346134356

Properties of LCM 26308 and 26314

(i) The LCM of 26314 and 26308 is associative

LCM of 26308 and 26314 = LCM of 26314 and 26308

Related Least Common Multiples of 26308

Related Least Common Multiples of 26314

Frequently Asked Questions on LCM of 26308 and 26314

1. What is the LCM of 26308 and 26314?

Answer: LCM of 26308 and 26314 is 346134356.

2. What are the Factors of 26308?

Answer: Factors of 26308 are 1, 2, 4, 6577, 13154, 26308. There are 6 integers that are factors of 26308. The greatest factor of 26308 is 26308.

3. What are the Factors of 26314?

Answer: Factors of 26314 are 1, 2, 59, 118, 223, 446, 13157, 26314. There are 8 integers that are factors of 26314. The greatest factor of 26314 is 26314.

4. How to Find the LCM of 26308 and 26314?

Answer:

Least Common Multiple of 26308 and 26314 = 346134356

Step 1: Find the prime factorization of 26308

26308 = 2 x 2 x 6577

Step 2: Find the prime factorization of 26314

26314 = 2 x 59 x 223

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

LCM = 346134356 = 2 x 2 x 59 x 223 x 6577

Step 4: Therefore, the least common multiple of 26308 and 26314 is 346134356.