Least Common Multiple of 26324 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 26324 and 26328 the smallest integer that is 173264568 that is divisible by both numbers.

Least Common Multiple (LCM) of 26324 and 26328 is 173264568.

LCM(26324,26328) = 173264568

LCM of 26324 and 26328

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

LCM of:
and

Least Common Multiple of 26324 and 26328

LCM of 26324 and 26328 is 173264568

Least common multiple can be found by multiplying the highest exponent prime factors of 26324 and 26328. First we will calculate the prime factors of 26324 and 26328.

Prime Factorization of 26324


2 26324
2 13162
6581 6581
1

Prime factors of 26324 are 2,6581. Prime factorization of 26324 in exponential form is:

26324 = 22×65811

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 26324 and 26328.

LCM(26324,26328) = 23×31×10971×65811
LCM(26324,26328) = 173264568

Factors of 26324

List of positive integer factors of 26324 that divides 26324 without a remainder.

1, 2, 4, 6581, 13162, 26324

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 26324 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 26324 and 26328, than apply into the LCM equation.

GCF(26324,26328) = 4
LCM(26324,26328) = ( 26324 × 26328) / 4
LCM(26324,26328) = 693058272 / 4
LCM(26324,26328) = 173264568

Properties of LCM 26324 and 26328

(i) The LCM of 26328 and 26324 is associative

LCM of 26324 and 26328 = LCM of 26328 and 26324

Related Least Common Multiples of 26324

Related Least Common Multiples of 26328

Frequently Asked Questions on LCM of 26324 and 26328

1. What is the LCM of 26324 and 26328?

Answer: LCM of 26324 and 26328 is 173264568.

2. What are the Factors of 26324?

Answer: Factors of 26324 are 1, 2, 4, 6581, 13162, 26324. There are 6 integers that are factors of 26324. The greatest factor of 26324 is 26324.

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 26324 and 26328?

Answer:

Least Common Multiple of 26324 and 26328 = 173264568

Step 1: Find the prime factorization of 26324

26324 = 2 x 2 x 6581

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 = 173264568 = 2 x 2 x 2 x 3 x 1097 x 6581

Step 4: Therefore, the least common multiple of 26324 and 26328 is 173264568.