Least Common Multiple of 26308 and 26312

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 26312 the smallest integer that is 173054024 that is divisible by both numbers.

Least Common Multiple (LCM) of 26308 and 26312 is 173054024.

LCM(26308,26312) = 173054024

LCM of 26308 and 26312

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

LCM of:
and

Least Common Multiple of 26308 and 26312

LCM of 26308 and 26312 is 173054024

Least common multiple can be found by multiplying the highest exponent prime factors of 26308 and 26312. First we will calculate the prime factors of 26308 and 26312.

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 26312


2 26312
2 13156
2 6578
11 3289
13 299
23 23
1

Prime factors of 26312 are 2, 11, 13,23. Prime factorization of 26312 in exponential form is:

26312 = 23×111×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 26308 and 26312.

LCM(26308,26312) = 23×111×131×231×65771
LCM(26308,26312) = 173054024

Factors of 26308

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

1, 2, 4, 6577, 13154, 26308

Factors of 26312

List of positive integer factors of 26312 that divides 26312 without a remainder.

1, 2, 4, 8, 11, 13, 22, 23, 26, 44, 46, 52, 88, 92, 104, 143, 184, 253, 286, 299, 506, 572, 598, 1012, 1144, 1196, 2024, 2392, 3289, 6578, 13156, 26312

Least Common Multiple of 26308 and 26312 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 26312, than apply into the LCM equation.

GCF(26308,26312) = 4
LCM(26308,26312) = ( 26308 × 26312) / 4
LCM(26308,26312) = 692216096 / 4
LCM(26308,26312) = 173054024

Properties of LCM 26308 and 26312

(i) The LCM of 26312 and 26308 is associative

LCM of 26308 and 26312 = LCM of 26312 and 26308

Related Least Common Multiples of 26308

Related Least Common Multiples of 26312

Frequently Asked Questions on LCM of 26308 and 26312

1. What is the LCM of 26308 and 26312?

Answer: LCM of 26308 and 26312 is 173054024.

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 26312?

Answer: Factors of 26312 are 1, 2, 4, 8, 11, 13, 22, 23, 26, 44, 46, 52, 88, 92, 104, 143, 184, 253, 286, 299, 506, 572, 598, 1012, 1144, 1196, 2024, 2392, 3289, 6578, 13156, 26312. There are 32 integers that are factors of 26312. The greatest factor of 26312 is 26312.

4. How to Find the LCM of 26308 and 26312?

Answer:

Least Common Multiple of 26308 and 26312 = 173054024

Step 1: Find the prime factorization of 26308

26308 = 2 x 2 x 6577

Step 2: Find the prime factorization of 26312

26312 = 2 x 2 x 2 x 11 x 13 x 23

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

LCM = 173054024 = 2 x 2 x 2 x 11 x 13 x 23 x 6577

Step 4: Therefore, the least common multiple of 26308 and 26312 is 173054024.