Least Common Multiple of 25332 and 25340

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 25340 the smallest integer that is 160478220 that is divisible by both numbers.

Least Common Multiple (LCM) of 25332 and 25340 is 160478220.

LCM(25332,25340) = 160478220

LCM of 25332 and 25340

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

LCM of:
and

Least Common Multiple of 25332 and 25340

LCM of 25332 and 25340 is 160478220

Least common multiple can be found by multiplying the highest exponent prime factors of 25332 and 25340. First we will calculate the prime factors of 25332 and 25340.

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 25340


2 25340
2 12670
5 6335
7 1267
181 181
1

Prime factors of 25340 are 2, 5, 7,181. Prime factorization of 25340 in exponential form is:

25340 = 22×51×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 25332 and 25340.

LCM(25332,25340) = 22×31×51×71×1811×21111
LCM(25332,25340) = 160478220

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 25340

List of positive integer factors of 25340 that divides 25340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 181, 362, 724, 905, 1267, 1810, 2534, 3620, 5068, 6335, 12670, 25340

Least Common Multiple of 25332 and 25340 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 25340, than apply into the LCM equation.

GCF(25332,25340) = 4
LCM(25332,25340) = ( 25332 × 25340) / 4
LCM(25332,25340) = 641912880 / 4
LCM(25332,25340) = 160478220

Properties of LCM 25332 and 25340

(i) The LCM of 25340 and 25332 is associative

LCM of 25332 and 25340 = LCM of 25340 and 25332

Related Least Common Multiples of 25332

Related Least Common Multiples of 25340

Frequently Asked Questions on LCM of 25332 and 25340

1. What is the LCM of 25332 and 25340?

Answer: LCM of 25332 and 25340 is 160478220.

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 25340?

Answer: Factors of 25340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 181, 362, 724, 905, 1267, 1810, 2534, 3620, 5068, 6335, 12670, 25340. There are 24 integers that are factors of 25340. The greatest factor of 25340 is 25340.

4. How to Find the LCM of 25332 and 25340?

Answer:

Least Common Multiple of 25332 and 25340 = 160478220

Step 1: Find the prime factorization of 25332

25332 = 2 x 2 x 3 x 2111

Step 2: Find the prime factorization of 25340

25340 = 2 x 2 x 5 x 7 x 181

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

LCM = 160478220 = 2 x 2 x 3 x 5 x 7 x 181 x 2111

Step 4: Therefore, the least common multiple of 25332 and 25340 is 160478220.