Least Common Multiple of 26314 and 26322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26314 and 26322 the smallest integer that is 346318554 that is divisible by both numbers.

Least Common Multiple (LCM) of 26314 and 26322 is 346318554.

LCM(26314,26322) = 346318554

LCM of 26314 and 26322

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

LCM of:
and

Least Common Multiple of 26314 and 26322

LCM of 26314 and 26322 is 346318554

Least common multiple can be found by multiplying the highest exponent prime factors of 26314 and 26322. First we will calculate the prime factors of 26314 and 26322.

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

Prime Factorization of 26322


2 26322
3 13161
41 4387
107 107
1

Prime factors of 26322 are 2, 3, 41,107. Prime factorization of 26322 in exponential form is:

26322 = 21×31×411×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 26314 and 26322.

LCM(26314,26322) = 21×31×411×591×1071×2231
LCM(26314,26322) = 346318554

Factors of 26314

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

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

Factors of 26322

List of positive integer factors of 26322 that divides 26322 without a remainder.

1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161, 26322

Least Common Multiple of 26314 and 26322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26314 and 26322, than apply into the LCM equation.

GCF(26314,26322) = 2
LCM(26314,26322) = ( 26314 × 26322) / 2
LCM(26314,26322) = 692637108 / 2
LCM(26314,26322) = 346318554

Properties of LCM 26314 and 26322

(i) The LCM of 26322 and 26314 is associative

LCM of 26314 and 26322 = LCM of 26322 and 26314

Related Least Common Multiples of 26314

Related Least Common Multiples of 26322

Frequently Asked Questions on LCM of 26314 and 26322

1. What is the LCM of 26314 and 26322?

Answer: LCM of 26314 and 26322 is 346318554.

2. 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.

3. What are the Factors of 26322?

Answer: Factors of 26322 are 1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161, 26322. There are 16 integers that are factors of 26322. The greatest factor of 26322 is 26322.

4. How to Find the LCM of 26314 and 26322?

Answer:

Least Common Multiple of 26314 and 26322 = 346318554

Step 1: Find the prime factorization of 26314

26314 = 2 x 59 x 223

Step 2: Find the prime factorization of 26322

26322 = 2 x 3 x 41 x 107

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

LCM = 346318554 = 2 x 3 x 41 x 59 x 107 x 223

Step 4: Therefore, the least common multiple of 26314 and 26322 is 346318554.