Least Common Multiple of 6220 and 6226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6220 and 6226 the smallest integer that is 19362860 that is divisible by both numbers.

Least Common Multiple (LCM) of 6220 and 6226 is 19362860.

LCM(6220,6226) = 19362860

LCM of 6220 and 6226

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

LCM of:
and

Least Common Multiple of 6220 and 6226

LCM of 6220 and 6226 is 19362860

Least common multiple can be found by multiplying the highest exponent prime factors of 6220 and 6226. First we will calculate the prime factors of 6220 and 6226.

Prime Factorization of 6220


2 6220
2 3110
5 1555
311 311
1

Prime factors of 6220 are 2, 5,311. Prime factorization of 6220 in exponential form is:

6220 = 22×51×3111

Prime Factorization of 6226


2 6226
11 3113
283 283
1

Prime factors of 6226 are 2, 11,283. Prime factorization of 6226 in exponential form is:

6226 = 21×111×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 6220 and 6226.

LCM(6220,6226) = 22×51×111×2831×3111
LCM(6220,6226) = 19362860

Factors of 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220

Factors of 6226

List of positive integer factors of 6226 that divides 6226 without a remainder.

1, 2, 11, 22, 283, 566, 3113, 6226

Least Common Multiple of 6220 and 6226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6220 and 6226, than apply into the LCM equation.

GCF(6220,6226) = 2
LCM(6220,6226) = ( 6220 × 6226) / 2
LCM(6220,6226) = 38725720 / 2
LCM(6220,6226) = 19362860

Properties of LCM 6220 and 6226

(i) The LCM of 6226 and 6220 is associative

LCM of 6220 and 6226 = LCM of 6226 and 6220

Related Least Common Multiples of 6220

Related Least Common Multiples of 6226

Frequently Asked Questions on LCM of 6220 and 6226

1. What is the LCM of 6220 and 6226?

Answer: LCM of 6220 and 6226 is 19362860.

2. What are the Factors of 6220?

Answer: Factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220. There are 12 integers that are factors of 6220. The greatest factor of 6220 is 6220.

3. What are the Factors of 6226?

Answer: Factors of 6226 are 1, 2, 11, 22, 283, 566, 3113, 6226. There are 8 integers that are factors of 6226. The greatest factor of 6226 is 6226.

4. How to Find the LCM of 6220 and 6226?

Answer:

Least Common Multiple of 6220 and 6226 = 19362860

Step 1: Find the prime factorization of 6220

6220 = 2 x 2 x 5 x 311

Step 2: Find the prime factorization of 6226

6226 = 2 x 11 x 283

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

LCM = 19362860 = 2 x 2 x 5 x 11 x 283 x 311

Step 4: Therefore, the least common multiple of 6220 and 6226 is 19362860.