Least Common Multiple of 16220 and 16225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16220 and 16225 the smallest integer that is 52633900 that is divisible by both numbers.

Least Common Multiple (LCM) of 16220 and 16225 is 52633900.

LCM(16220,16225) = 52633900

LCM of 16220 and 16225

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

LCM of:
and

Least Common Multiple of 16220 and 16225

LCM of 16220 and 16225 is 52633900

Least common multiple can be found by multiplying the highest exponent prime factors of 16220 and 16225. First we will calculate the prime factors of 16220 and 16225.

Prime Factorization of 16220


2 16220
2 8110
5 4055
811 811
1

Prime factors of 16220 are 2, 5,811. Prime factorization of 16220 in exponential form is:

16220 = 22×51×8111

Prime Factorization of 16225


5 16225
5 3245
11 649
59 59
1

Prime factors of 16225 are 5, 11,59. Prime factorization of 16225 in exponential form is:

16225 = 52×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 16220 and 16225.

LCM(16220,16225) = 22×52×111×591×8111
LCM(16220,16225) = 52633900

Factors of 16220

List of positive integer factors of 16220 that divides 16220 without a remainder.

1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110, 16220

Factors of 16225

List of positive integer factors of 16225 that divides 16225 without a remainder.

1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225

Least Common Multiple of 16220 and 16225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16220 and 16225, than apply into the LCM equation.

GCF(16220,16225) = 5
LCM(16220,16225) = ( 16220 × 16225) / 5
LCM(16220,16225) = 263169500 / 5
LCM(16220,16225) = 52633900

Properties of LCM 16220 and 16225

(i) The LCM of 16225 and 16220 is associative

LCM of 16220 and 16225 = LCM of 16225 and 16220

Related Least Common Multiples of 16220

Related Least Common Multiples of 16225

Frequently Asked Questions on LCM of 16220 and 16225

1. What is the LCM of 16220 and 16225?

Answer: LCM of 16220 and 16225 is 52633900.

2. What are the Factors of 16220?

Answer: Factors of 16220 are 1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110, 16220. There are 12 integers that are factors of 16220. The greatest factor of 16220 is 16220.

3. What are the Factors of 16225?

Answer: Factors of 16225 are 1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225. There are 12 integers that are factors of 16225. The greatest factor of 16225 is 16225.

4. How to Find the LCM of 16220 and 16225?

Answer:

Least Common Multiple of 16220 and 16225 = 52633900

Step 1: Find the prime factorization of 16220

16220 = 2 x 2 x 5 x 811

Step 2: Find the prime factorization of 16225

16225 = 5 x 5 x 11 x 59

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

LCM = 52633900 = 2 x 2 x 5 x 5 x 11 x 59 x 811

Step 4: Therefore, the least common multiple of 16220 and 16225 is 52633900.