Least Common Multiple of 26313 and 26321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26313 and 26321 the smallest integer that is 692584473 that is divisible by both numbers.

Least Common Multiple (LCM) of 26313 and 26321 is 692584473.

LCM(26313,26321) = 692584473

LCM of 26313 and 26321

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

LCM of:
and

Least Common Multiple of 26313 and 26321

LCM of 26313 and 26321 is 692584473

Least common multiple can be found by multiplying the highest exponent prime factors of 26313 and 26321. First we will calculate the prime factors of 26313 and 26321.

Prime Factorization of 26313


3 26313
7 8771
7 1253
179 179
1

Prime factors of 26313 are 3, 7,179. Prime factorization of 26313 in exponential form is:

26313 = 31×72×1791

Prime Factorization of 26321


26321 26321
1

Prime factors of 26321 are 26321. Prime factorization of 26321 in exponential form is:

26321 = 263211

Now multiplying the highest exponent prime factors to calculate the LCM of 26313 and 26321.

LCM(26313,26321) = 31×72×1791×263211
LCM(26313,26321) = 692584473

Factors of 26313

List of positive integer factors of 26313 that divides 26313 without a remainder.

1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771, 26313

Factors of 26321

List of positive integer factors of 26321 that divides 26321 without a remainder.

1, 26321

Least Common Multiple of 26313 and 26321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26313 and 26321, than apply into the LCM equation.

GCF(26313,26321) = 1
LCM(26313,26321) = ( 26313 × 26321) / 1
LCM(26313,26321) = 692584473 / 1
LCM(26313,26321) = 692584473

Properties of LCM 26313 and 26321

(i) The LCM of 26321 and 26313 is associative

LCM of 26313 and 26321 = LCM of 26321 and 26313

Related Least Common Multiples of 26313

Related Least Common Multiples of 26321

Frequently Asked Questions on LCM of 26313 and 26321

1. What is the LCM of 26313 and 26321?

Answer: LCM of 26313 and 26321 is 692584473.

2. What are the Factors of 26313?

Answer: Factors of 26313 are 1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771, 26313. There are 12 integers that are factors of 26313. The greatest factor of 26313 is 26313.

3. What are the Factors of 26321?

Answer: Factors of 26321 are 1, 26321. There are 2 integers that are factors of 26321. The greatest factor of 26321 is 26321.

4. How to Find the LCM of 26313 and 26321?

Answer:

Least Common Multiple of 26313 and 26321 = 692584473

Step 1: Find the prime factorization of 26313

26313 = 3 x 7 x 7 x 179

Step 2: Find the prime factorization of 26321

26321 = 26321

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

LCM = 692584473 = 3 x 7 x 7 x 179 x 26321

Step 4: Therefore, the least common multiple of 26313 and 26321 is 692584473.