Least Common Multiple of 26321 and 26328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26321 and 26328 the smallest integer that is 692979288 that is divisible by both numbers.

Least Common Multiple (LCM) of 26321 and 26328 is 692979288.

LCM(26321,26328) = 692979288

LCM of 26321 and 26328

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

LCM of:
and

Least Common Multiple of 26321 and 26328

LCM of 26321 and 26328 is 692979288

Least common multiple can be found by multiplying the highest exponent prime factors of 26321 and 26328. First we will calculate the prime factors of 26321 and 26328.

Prime Factorization of 26321


26321 26321
1

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

26321 = 263211

Prime Factorization of 26328


2 26328
2 13164
2 6582
3 3291
1097 1097
1

Prime factors of 26328 are 2, 3,1097. Prime factorization of 26328 in exponential form is:

26328 = 23×31×10971

Now multiplying the highest exponent prime factors to calculate the LCM of 26321 and 26328.

LCM(26321,26328) = 23×31×10971×263211
LCM(26321,26328) = 692979288

Factors of 26321

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

1, 26321

Factors of 26328

List of positive integer factors of 26328 that divides 26328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1097, 2194, 3291, 4388, 6582, 8776, 13164, 26328

Least Common Multiple of 26321 and 26328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26321 and 26328, than apply into the LCM equation.

GCF(26321,26328) = 1
LCM(26321,26328) = ( 26321 × 26328) / 1
LCM(26321,26328) = 692979288 / 1
LCM(26321,26328) = 692979288

Properties of LCM 26321 and 26328

(i) The LCM of 26328 and 26321 is associative

LCM of 26321 and 26328 = LCM of 26328 and 26321

Related Least Common Multiples of 26321

Related Least Common Multiples of 26328

Frequently Asked Questions on LCM of 26321 and 26328

1. What is the LCM of 26321 and 26328?

Answer: LCM of 26321 and 26328 is 692979288.

2. 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.

3. What are the Factors of 26328?

Answer: Factors of 26328 are 1, 2, 3, 4, 6, 8, 12, 24, 1097, 2194, 3291, 4388, 6582, 8776, 13164, 26328. There are 16 integers that are factors of 26328. The greatest factor of 26328 is 26328.

4. How to Find the LCM of 26321 and 26328?

Answer:

Least Common Multiple of 26321 and 26328 = 692979288

Step 1: Find the prime factorization of 26321

26321 = 26321

Step 2: Find the prime factorization of 26328

26328 = 2 x 2 x 2 x 3 x 1097

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

LCM = 692979288 = 2 x 2 x 2 x 3 x 1097 x 26321

Step 4: Therefore, the least common multiple of 26321 and 26328 is 692979288.