Least Common Multiple of 16220 and 16226

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 16226 the smallest integer that is 131592860 that is divisible by both numbers.

Least Common Multiple (LCM) of 16220 and 16226 is 131592860.

LCM(16220,16226) = 131592860

LCM of 16220 and 16226

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

LCM of:
and

Least Common Multiple of 16220 and 16226

LCM of 16220 and 16226 is 131592860

Least common multiple can be found by multiplying the highest exponent prime factors of 16220 and 16226. First we will calculate the prime factors of 16220 and 16226.

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 16226


2 16226
7 8113
19 1159
61 61
1

Prime factors of 16226 are 2, 7, 19,61. Prime factorization of 16226 in exponential form is:

16226 = 21×71×191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 16220 and 16226.

LCM(16220,16226) = 22×51×71×191×611×8111
LCM(16220,16226) = 131592860

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 16226

List of positive integer factors of 16226 that divides 16226 without a remainder.

1, 2, 7, 14, 19, 38, 61, 122, 133, 266, 427, 854, 1159, 2318, 8113, 16226

Least Common Multiple of 16220 and 16226 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 16226, than apply into the LCM equation.

GCF(16220,16226) = 2
LCM(16220,16226) = ( 16220 × 16226) / 2
LCM(16220,16226) = 263185720 / 2
LCM(16220,16226) = 131592860

Properties of LCM 16220 and 16226

(i) The LCM of 16226 and 16220 is associative

LCM of 16220 and 16226 = LCM of 16226 and 16220

Related Least Common Multiples of 16220

Related Least Common Multiples of 16226

Frequently Asked Questions on LCM of 16220 and 16226

1. What is the LCM of 16220 and 16226?

Answer: LCM of 16220 and 16226 is 131592860.

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 16226?

Answer: Factors of 16226 are 1, 2, 7, 14, 19, 38, 61, 122, 133, 266, 427, 854, 1159, 2318, 8113, 16226. There are 16 integers that are factors of 16226. The greatest factor of 16226 is 16226.

4. How to Find the LCM of 16220 and 16226?

Answer:

Least Common Multiple of 16220 and 16226 = 131592860

Step 1: Find the prime factorization of 16220

16220 = 2 x 2 x 5 x 811

Step 2: Find the prime factorization of 16226

16226 = 2 x 7 x 19 x 61

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

LCM = 131592860 = 2 x 2 x 5 x 7 x 19 x 61 x 811

Step 4: Therefore, the least common multiple of 16220 and 16226 is 131592860.