Least Common Multiple of 26301 and 26308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26301 and 26308 the smallest integer that is 691926708 that is divisible by both numbers.

Least Common Multiple (LCM) of 26301 and 26308 is 691926708.

LCM(26301,26308) = 691926708

LCM of 26301 and 26308

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

LCM of:
and

Least Common Multiple of 26301 and 26308

LCM of 26301 and 26308 is 691926708

Least common multiple can be found by multiplying the highest exponent prime factors of 26301 and 26308. First we will calculate the prime factors of 26301 and 26308.

Prime Factorization of 26301


3 26301
11 8767
797 797
1

Prime factors of 26301 are 3, 11,797. Prime factorization of 26301 in exponential form is:

26301 = 31×111×7971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 26301 and 26308.

LCM(26301,26308) = 22×31×111×7971×65771
LCM(26301,26308) = 691926708

Factors of 26301

List of positive integer factors of 26301 that divides 26301 without a remainder.

1, 3, 11, 33, 797, 2391, 8767, 26301

Factors of 26308

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

1, 2, 4, 6577, 13154, 26308

Least Common Multiple of 26301 and 26308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26301 and 26308, than apply into the LCM equation.

GCF(26301,26308) = 1
LCM(26301,26308) = ( 26301 × 26308) / 1
LCM(26301,26308) = 691926708 / 1
LCM(26301,26308) = 691926708

Properties of LCM 26301 and 26308

(i) The LCM of 26308 and 26301 is associative

LCM of 26301 and 26308 = LCM of 26308 and 26301

Related Least Common Multiples of 26301

Related Least Common Multiples of 26308

Frequently Asked Questions on LCM of 26301 and 26308

1. What is the LCM of 26301 and 26308?

Answer: LCM of 26301 and 26308 is 691926708.

2. What are the Factors of 26301?

Answer: Factors of 26301 are 1, 3, 11, 33, 797, 2391, 8767, 26301. There are 8 integers that are factors of 26301. The greatest factor of 26301 is 26301.

3. 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.

4. How to Find the LCM of 26301 and 26308?

Answer:

Least Common Multiple of 26301 and 26308 = 691926708

Step 1: Find the prime factorization of 26301

26301 = 3 x 11 x 797

Step 2: Find the prime factorization of 26308

26308 = 2 x 2 x 6577

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

LCM = 691926708 = 2 x 2 x 3 x 11 x 797 x 6577

Step 4: Therefore, the least common multiple of 26301 and 26308 is 691926708.