Least Common Multiple of 13220 and 13225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13220 and 13225 the smallest integer that is 34966900 that is divisible by both numbers.

Least Common Multiple (LCM) of 13220 and 13225 is 34966900.

LCM(13220,13225) = 34966900

LCM of 13220 and 13225

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

LCM of:
and

Least Common Multiple of 13220 and 13225

LCM of 13220 and 13225 is 34966900

Least common multiple can be found by multiplying the highest exponent prime factors of 13220 and 13225. First we will calculate the prime factors of 13220 and 13225.

Prime Factorization of 13220


2 13220
2 6610
5 3305
661 661
1

Prime factors of 13220 are 2, 5,661. Prime factorization of 13220 in exponential form is:

13220 = 22×51×6611

Prime Factorization of 13225


5 13225
5 2645
23 529
23 23
1

Prime factors of 13225 are 5,23. Prime factorization of 13225 in exponential form is:

13225 = 52×232

Now multiplying the highest exponent prime factors to calculate the LCM of 13220 and 13225.

LCM(13220,13225) = 22×52×232×6611
LCM(13220,13225) = 34966900

Factors of 13220

List of positive integer factors of 13220 that divides 13220 without a remainder.

1, 2, 4, 5, 10, 20, 661, 1322, 2644, 3305, 6610, 13220

Factors of 13225

List of positive integer factors of 13225 that divides 13225 without a remainder.

1, 5, 23, 25, 115, 529, 575, 2645, 13225

Least Common Multiple of 13220 and 13225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13220 and 13225, than apply into the LCM equation.

GCF(13220,13225) = 5
LCM(13220,13225) = ( 13220 × 13225) / 5
LCM(13220,13225) = 174834500 / 5
LCM(13220,13225) = 34966900

Properties of LCM 13220 and 13225

(i) The LCM of 13225 and 13220 is associative

LCM of 13220 and 13225 = LCM of 13225 and 13220

Related Least Common Multiples of 13220

Related Least Common Multiples of 13225

Frequently Asked Questions on LCM of 13220 and 13225

1. What is the LCM of 13220 and 13225?

Answer: LCM of 13220 and 13225 is 34966900.

2. What are the Factors of 13220?

Answer: Factors of 13220 are 1, 2, 4, 5, 10, 20, 661, 1322, 2644, 3305, 6610, 13220. There are 12 integers that are factors of 13220. The greatest factor of 13220 is 13220.

3. What are the Factors of 13225?

Answer: Factors of 13225 are 1, 5, 23, 25, 115, 529, 575, 2645, 13225. There are 9 integers that are factors of 13225. The greatest factor of 13225 is 13225.

4. How to Find the LCM of 13220 and 13225?

Answer:

Least Common Multiple of 13220 and 13225 = 34966900

Step 1: Find the prime factorization of 13220

13220 = 2 x 2 x 5 x 661

Step 2: Find the prime factorization of 13225

13225 = 5 x 5 x 23 x 23

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

LCM = 34966900 = 2 x 2 x 5 x 5 x 23 x 23 x 661

Step 4: Therefore, the least common multiple of 13220 and 13225 is 34966900.