Least Common Multiple of 6221 and 6228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6221 and 6228 the smallest integer that is 38744388 that is divisible by both numbers.

Least Common Multiple (LCM) of 6221 and 6228 is 38744388.

LCM(6221,6228) = 38744388

LCM of 6221 and 6228

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

LCM of:
and

Least Common Multiple of 6221 and 6228

LCM of 6221 and 6228 is 38744388

Least common multiple can be found by multiplying the highest exponent prime factors of 6221 and 6228. First we will calculate the prime factors of 6221 and 6228.

Prime Factorization of 6221


6221 6221
1

Prime factors of 6221 are 6221. Prime factorization of 6221 in exponential form is:

6221 = 62211

Prime Factorization of 6228


2 6228
2 3114
3 1557
3 519
173 173
1

Prime factors of 6228 are 2, 3,173. Prime factorization of 6228 in exponential form is:

6228 = 22×32×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6221 and 6228.

LCM(6221,6228) = 22×32×1731×62211
LCM(6221,6228) = 38744388

Factors of 6221

List of positive integer factors of 6221 that divides 6221 without a remainder.

1, 6221

Factors of 6228

List of positive integer factors of 6228 that divides 6228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228

Least Common Multiple of 6221 and 6228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6221 and 6228, than apply into the LCM equation.

GCF(6221,6228) = 1
LCM(6221,6228) = ( 6221 × 6228) / 1
LCM(6221,6228) = 38744388 / 1
LCM(6221,6228) = 38744388

Properties of LCM 6221 and 6228

(i) The LCM of 6228 and 6221 is associative

LCM of 6221 and 6228 = LCM of 6228 and 6221

Related Least Common Multiples of 6221

Related Least Common Multiples of 6228

Frequently Asked Questions on LCM of 6221 and 6228

1. What is the LCM of 6221 and 6228?

Answer: LCM of 6221 and 6228 is 38744388.

2. What are the Factors of 6221?

Answer: Factors of 6221 are 1, 6221. There are 2 integers that are factors of 6221. The greatest factor of 6221 is 6221.

3. What are the Factors of 6228?

Answer: Factors of 6228 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228. There are 18 integers that are factors of 6228. The greatest factor of 6228 is 6228.

4. How to Find the LCM of 6221 and 6228?

Answer:

Least Common Multiple of 6221 and 6228 = 38744388

Step 1: Find the prime factorization of 6221

6221 = 6221

Step 2: Find the prime factorization of 6228

6228 = 2 x 2 x 3 x 3 x 173

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

LCM = 38744388 = 2 x 2 x 3 x 3 x 173 x 6221

Step 4: Therefore, the least common multiple of 6221 and 6228 is 38744388.