Least Common Multiple of 26310 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 26310 and 26314 the smallest integer that is 346160670 that is divisible by both numbers.

Least Common Multiple (LCM) of 26310 and 26314 is 346160670.

LCM(26310,26314) = 346160670

LCM of 26310 and 26314

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

LCM of:
and

Least Common Multiple of 26310 and 26314

LCM of 26310 and 26314 is 346160670

Least common multiple can be found by multiplying the highest exponent prime factors of 26310 and 26314. First we will calculate the prime factors of 26310 and 26314.

Prime Factorization of 26310


2 26310
3 13155
5 4385
877 877
1

Prime factors of 26310 are 2, 3, 5,877. Prime factorization of 26310 in exponential form is:

26310 = 21×31×51×8771

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 26310 and 26314.

LCM(26310,26314) = 21×31×51×591×2231×8771
LCM(26310,26314) = 346160670

Factors of 26310

List of positive integer factors of 26310 that divides 26310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 877, 1754, 2631, 4385, 5262, 8770, 13155, 26310

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 26310 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 26310 and 26314, than apply into the LCM equation.

GCF(26310,26314) = 2
LCM(26310,26314) = ( 26310 × 26314) / 2
LCM(26310,26314) = 692321340 / 2
LCM(26310,26314) = 346160670

Properties of LCM 26310 and 26314

(i) The LCM of 26314 and 26310 is associative

LCM of 26310 and 26314 = LCM of 26314 and 26310

Related Least Common Multiples of 26310

Related Least Common Multiples of 26314

Frequently Asked Questions on LCM of 26310 and 26314

1. What is the LCM of 26310 and 26314?

Answer: LCM of 26310 and 26314 is 346160670.

2. What are the Factors of 26310?

Answer: Factors of 26310 are 1, 2, 3, 5, 6, 10, 15, 30, 877, 1754, 2631, 4385, 5262, 8770, 13155, 26310. There are 16 integers that are factors of 26310. The greatest factor of 26310 is 26310.

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 26310 and 26314?

Answer:

Least Common Multiple of 26310 and 26314 = 346160670

Step 1: Find the prime factorization of 26310

26310 = 2 x 3 x 5 x 877

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 = 346160670 = 2 x 3 x 5 x 59 x 223 x 877

Step 4: Therefore, the least common multiple of 26310 and 26314 is 346160670.