Least Common Multiple of 25326 and 25330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25326 and 25330 the smallest integer that is 320753790 that is divisible by both numbers.

Least Common Multiple (LCM) of 25326 and 25330 is 320753790.

LCM(25326,25330) = 320753790

LCM of 25326 and 25330

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

LCM of:
and

Least Common Multiple of 25326 and 25330

LCM of 25326 and 25330 is 320753790

Least common multiple can be found by multiplying the highest exponent prime factors of 25326 and 25330. First we will calculate the prime factors of 25326 and 25330.

Prime Factorization of 25326


2 25326
3 12663
3 4221
3 1407
7 469
67 67
1

Prime factors of 25326 are 2, 3, 7,67. Prime factorization of 25326 in exponential form is:

25326 = 21×33×71×671

Prime Factorization of 25330


2 25330
5 12665
17 2533
149 149
1

Prime factors of 25330 are 2, 5, 17,149. Prime factorization of 25330 in exponential form is:

25330 = 21×51×171×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 25326 and 25330.

LCM(25326,25330) = 21×33×51×71×171×671×1491
LCM(25326,25330) = 320753790

Factors of 25326

List of positive integer factors of 25326 that divides 25326 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 67, 126, 134, 189, 201, 378, 402, 469, 603, 938, 1206, 1407, 1809, 2814, 3618, 4221, 8442, 12663, 25326

Factors of 25330

List of positive integer factors of 25330 that divides 25330 without a remainder.

1, 2, 5, 10, 17, 34, 85, 149, 170, 298, 745, 1490, 2533, 5066, 12665, 25330

Least Common Multiple of 25326 and 25330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25326 and 25330, than apply into the LCM equation.

GCF(25326,25330) = 2
LCM(25326,25330) = ( 25326 × 25330) / 2
LCM(25326,25330) = 641507580 / 2
LCM(25326,25330) = 320753790

Properties of LCM 25326 and 25330

(i) The LCM of 25330 and 25326 is associative

LCM of 25326 and 25330 = LCM of 25330 and 25326

Related Least Common Multiples of 25326

Related Least Common Multiples of 25330

Frequently Asked Questions on LCM of 25326 and 25330

1. What is the LCM of 25326 and 25330?

Answer: LCM of 25326 and 25330 is 320753790.

2. What are the Factors of 25326?

Answer: Factors of 25326 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 67, 126, 134, 189, 201, 378, 402, 469, 603, 938, 1206, 1407, 1809, 2814, 3618, 4221, 8442, 12663, 25326. There are 32 integers that are factors of 25326. The greatest factor of 25326 is 25326.

3. What are the Factors of 25330?

Answer: Factors of 25330 are 1, 2, 5, 10, 17, 34, 85, 149, 170, 298, 745, 1490, 2533, 5066, 12665, 25330. There are 16 integers that are factors of 25330. The greatest factor of 25330 is 25330.

4. How to Find the LCM of 25326 and 25330?

Answer:

Least Common Multiple of 25326 and 25330 = 320753790

Step 1: Find the prime factorization of 25326

25326 = 2 x 3 x 3 x 3 x 7 x 67

Step 2: Find the prime factorization of 25330

25330 = 2 x 5 x 17 x 149

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

LCM = 320753790 = 2 x 3 x 3 x 3 x 5 x 7 x 17 x 67 x 149

Step 4: Therefore, the least common multiple of 25326 and 25330 is 320753790.