Least Common Multiple of 25326 and 25332

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 25332 the smallest integer that is 106926372 that is divisible by both numbers.

Least Common Multiple (LCM) of 25326 and 25332 is 106926372.

LCM(25326,25332) = 106926372

LCM of 25326 and 25332

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

LCM of:
and

Least Common Multiple of 25326 and 25332

LCM of 25326 and 25332 is 106926372

Least common multiple can be found by multiplying the highest exponent prime factors of 25326 and 25332. First we will calculate the prime factors of 25326 and 25332.

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 25332


2 25332
2 12666
3 6333
2111 2111
1

Prime factors of 25332 are 2, 3,2111. Prime factorization of 25332 in exponential form is:

25332 = 22×31×21111

Now multiplying the highest exponent prime factors to calculate the LCM of 25326 and 25332.

LCM(25326,25332) = 22×33×71×671×21111
LCM(25326,25332) = 106926372

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 25332

List of positive integer factors of 25332 that divides 25332 without a remainder.

1, 2, 3, 4, 6, 12, 2111, 4222, 6333, 8444, 12666, 25332

Least Common Multiple of 25326 and 25332 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 25332, than apply into the LCM equation.

GCF(25326,25332) = 6
LCM(25326,25332) = ( 25326 × 25332) / 6
LCM(25326,25332) = 641558232 / 6
LCM(25326,25332) = 106926372

Properties of LCM 25326 and 25332

(i) The LCM of 25332 and 25326 is associative

LCM of 25326 and 25332 = LCM of 25332 and 25326

Related Least Common Multiples of 25326

Related Least Common Multiples of 25332

Frequently Asked Questions on LCM of 25326 and 25332

1. What is the LCM of 25326 and 25332?

Answer: LCM of 25326 and 25332 is 106926372.

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 25332?

Answer: Factors of 25332 are 1, 2, 3, 4, 6, 12, 2111, 4222, 6333, 8444, 12666, 25332. There are 12 integers that are factors of 25332. The greatest factor of 25332 is 25332.

4. How to Find the LCM of 25326 and 25332?

Answer:

Least Common Multiple of 25326 and 25332 = 106926372

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 25332

25332 = 2 x 2 x 3 x 2111

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

LCM = 106926372 = 2 x 2 x 3 x 3 x 3 x 7 x 67 x 2111

Step 4: Therefore, the least common multiple of 25326 and 25332 is 106926372.