Least Common Multiple of 15220 and 15225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15220 and 15225 the smallest integer that is 46344900 that is divisible by both numbers.

Least Common Multiple (LCM) of 15220 and 15225 is 46344900.

LCM(15220,15225) = 46344900

LCM of 15220 and 15225

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

LCM of:
and

Least Common Multiple of 15220 and 15225

LCM of 15220 and 15225 is 46344900

Least common multiple can be found by multiplying the highest exponent prime factors of 15220 and 15225. First we will calculate the prime factors of 15220 and 15225.

Prime Factorization of 15220


2 15220
2 7610
5 3805
761 761
1

Prime factors of 15220 are 2, 5,761. Prime factorization of 15220 in exponential form is:

15220 = 22×51×7611

Prime Factorization of 15225


3 15225
5 5075
5 1015
7 203
29 29
1

Prime factors of 15225 are 3, 5, 7,29. Prime factorization of 15225 in exponential form is:

15225 = 31×52×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 15220 and 15225.

LCM(15220,15225) = 22×31×52×71×291×7611
LCM(15220,15225) = 46344900

Factors of 15220

List of positive integer factors of 15220 that divides 15220 without a remainder.

1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610, 15220

Factors of 15225

List of positive integer factors of 15225 that divides 15225 without a remainder.

1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075, 15225

Least Common Multiple of 15220 and 15225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15220 and 15225, than apply into the LCM equation.

GCF(15220,15225) = 5
LCM(15220,15225) = ( 15220 × 15225) / 5
LCM(15220,15225) = 231724500 / 5
LCM(15220,15225) = 46344900

Properties of LCM 15220 and 15225

(i) The LCM of 15225 and 15220 is associative

LCM of 15220 and 15225 = LCM of 15225 and 15220

Related Least Common Multiples of 15220

Related Least Common Multiples of 15225

Frequently Asked Questions on LCM of 15220 and 15225

1. What is the LCM of 15220 and 15225?

Answer: LCM of 15220 and 15225 is 46344900.

2. What are the Factors of 15220?

Answer: Factors of 15220 are 1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610, 15220. There are 12 integers that are factors of 15220. The greatest factor of 15220 is 15220.

3. What are the Factors of 15225?

Answer: Factors of 15225 are 1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075, 15225. There are 24 integers that are factors of 15225. The greatest factor of 15225 is 15225.

4. How to Find the LCM of 15220 and 15225?

Answer:

Least Common Multiple of 15220 and 15225 = 46344900

Step 1: Find the prime factorization of 15220

15220 = 2 x 2 x 5 x 761

Step 2: Find the prime factorization of 15225

15225 = 3 x 5 x 5 x 7 x 29

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

LCM = 46344900 = 2 x 2 x 3 x 5 x 5 x 7 x 29 x 761

Step 4: Therefore, the least common multiple of 15220 and 15225 is 46344900.