Least Common Multiple of 26314 and 26320

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 26320 the smallest integer that is 346292240 that is divisible by both numbers.

Least Common Multiple (LCM) of 26314 and 26320 is 346292240.

LCM(26314,26320) = 346292240

LCM of 26314 and 26320

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

LCM of:
and

Least Common Multiple of 26314 and 26320

LCM of 26314 and 26320 is 346292240

Least common multiple can be found by multiplying the highest exponent prime factors of 26314 and 26320. First we will calculate the prime factors of 26314 and 26320.

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 26320


2 26320
2 13160
2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 26320 are 2, 5, 7,47. Prime factorization of 26320 in exponential form is:

26320 = 24×51×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 26314 and 26320.

LCM(26314,26320) = 24×51×71×471×591×2231
LCM(26314,26320) = 346292240

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 26320

List of positive integer factors of 26320 that divides 26320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320

Least Common Multiple of 26314 and 26320 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 26320, than apply into the LCM equation.

GCF(26314,26320) = 2
LCM(26314,26320) = ( 26314 × 26320) / 2
LCM(26314,26320) = 692584480 / 2
LCM(26314,26320) = 346292240

Properties of LCM 26314 and 26320

(i) The LCM of 26320 and 26314 is associative

LCM of 26314 and 26320 = LCM of 26320 and 26314

Related Least Common Multiples of 26314

Related Least Common Multiples of 26320

Frequently Asked Questions on LCM of 26314 and 26320

1. What is the LCM of 26314 and 26320?

Answer: LCM of 26314 and 26320 is 346292240.

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 26320?

Answer: Factors of 26320 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320. There are 40 integers that are factors of 26320. The greatest factor of 26320 is 26320.

4. How to Find the LCM of 26314 and 26320?

Answer:

Least Common Multiple of 26314 and 26320 = 346292240

Step 1: Find the prime factorization of 26314

26314 = 2 x 59 x 223

Step 2: Find the prime factorization of 26320

26320 = 2 x 2 x 2 x 2 x 5 x 7 x 47

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

LCM = 346292240 = 2 x 2 x 2 x 2 x 5 x 7 x 47 x 59 x 223

Step 4: Therefore, the least common multiple of 26314 and 26320 is 346292240.