Least Common Multiple of 26320 and 26324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26320 and 26324 the smallest integer that is 173211920 that is divisible by both numbers.

Least Common Multiple (LCM) of 26320 and 26324 is 173211920.

LCM(26320,26324) = 173211920

LCM of 26320 and 26324

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

LCM of:
and

Least Common Multiple of 26320 and 26324

LCM of 26320 and 26324 is 173211920

Least common multiple can be found by multiplying the highest exponent prime factors of 26320 and 26324. First we will calculate the prime factors of 26320 and 26324.

Prime Factorization of 26320


2 26320
2 13160
2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 26320 are 2, 5, 7,47. Prime factorization of 26320 in exponential form is:

26320 = 24×51×71×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 26320 and 26324.

LCM(26320,26324) = 24×51×71×471×65811
LCM(26320,26324) = 173211920

Factors of 26320

List of positive integer factors of 26320 that divides 26320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320

Factors of 26324

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

1, 2, 4, 6581, 13162, 26324

Least Common Multiple of 26320 and 26324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26320 and 26324, than apply into the LCM equation.

GCF(26320,26324) = 4
LCM(26320,26324) = ( 26320 × 26324) / 4
LCM(26320,26324) = 692847680 / 4
LCM(26320,26324) = 173211920

Properties of LCM 26320 and 26324

(i) The LCM of 26324 and 26320 is associative

LCM of 26320 and 26324 = LCM of 26324 and 26320

Related Least Common Multiples of 26320

Related Least Common Multiples of 26324

Frequently Asked Questions on LCM of 26320 and 26324

1. What is the LCM of 26320 and 26324?

Answer: LCM of 26320 and 26324 is 173211920.

2. What are the Factors of 26320?

Answer: Factors of 26320 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320. There are 40 integers that are factors of 26320. The greatest factor of 26320 is 26320.

3. 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.

4. How to Find the LCM of 26320 and 26324?

Answer:

Least Common Multiple of 26320 and 26324 = 173211920

Step 1: Find the prime factorization of 26320

26320 = 2 x 2 x 2 x 2 x 5 x 7 x 47

Step 2: Find the prime factorization of 26324

26324 = 2 x 2 x 6581

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

LCM = 173211920 = 2 x 2 x 2 x 2 x 5 x 7 x 47 x 6581

Step 4: Therefore, the least common multiple of 26320 and 26324 is 173211920.