Least Common Multiple of 25332 and 25338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25332 and 25338 the smallest integer that is 106977036 that is divisible by both numbers.

Least Common Multiple (LCM) of 25332 and 25338 is 106977036.

LCM(25332,25338) = 106977036

LCM of 25332 and 25338

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

LCM of:
and

Least Common Multiple of 25332 and 25338

LCM of 25332 and 25338 is 106977036

Least common multiple can be found by multiplying the highest exponent prime factors of 25332 and 25338. First we will calculate the prime factors of 25332 and 25338.

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

Prime Factorization of 25338


2 25338
3 12669
41 4223
103 103
1

Prime factors of 25338 are 2, 3, 41,103. Prime factorization of 25338 in exponential form is:

25338 = 21×31×411×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 25332 and 25338.

LCM(25332,25338) = 22×31×411×1031×21111
LCM(25332,25338) = 106977036

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

Factors of 25338

List of positive integer factors of 25338 that divides 25338 without a remainder.

1, 2, 3, 6, 41, 82, 103, 123, 206, 246, 309, 618, 4223, 8446, 12669, 25338

Least Common Multiple of 25332 and 25338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25332 and 25338, than apply into the LCM equation.

GCF(25332,25338) = 6
LCM(25332,25338) = ( 25332 × 25338) / 6
LCM(25332,25338) = 641862216 / 6
LCM(25332,25338) = 106977036

Properties of LCM 25332 and 25338

(i) The LCM of 25338 and 25332 is associative

LCM of 25332 and 25338 = LCM of 25338 and 25332

Related Least Common Multiples of 25332

Related Least Common Multiples of 25338

Frequently Asked Questions on LCM of 25332 and 25338

1. What is the LCM of 25332 and 25338?

Answer: LCM of 25332 and 25338 is 106977036.

2. 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.

3. What are the Factors of 25338?

Answer: Factors of 25338 are 1, 2, 3, 6, 41, 82, 103, 123, 206, 246, 309, 618, 4223, 8446, 12669, 25338. There are 16 integers that are factors of 25338. The greatest factor of 25338 is 25338.

4. How to Find the LCM of 25332 and 25338?

Answer:

Least Common Multiple of 25332 and 25338 = 106977036

Step 1: Find the prime factorization of 25332

25332 = 2 x 2 x 3 x 2111

Step 2: Find the prime factorization of 25338

25338 = 2 x 3 x 41 x 103

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

LCM = 106977036 = 2 x 2 x 3 x 41 x 103 x 2111

Step 4: Therefore, the least common multiple of 25332 and 25338 is 106977036.