Least Common Multiple of 6214 and 6222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6214 and 6222 the smallest integer that is 19331754 that is divisible by both numbers.

Least Common Multiple (LCM) of 6214 and 6222 is 19331754.

LCM(6214,6222) = 19331754

LCM of 6214 and 6222

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

LCM of:
and

Least Common Multiple of 6214 and 6222

LCM of 6214 and 6222 is 19331754

Least common multiple can be found by multiplying the highest exponent prime factors of 6214 and 6222. First we will calculate the prime factors of 6214 and 6222.

Prime Factorization of 6214


2 6214
13 3107
239 239
1

Prime factors of 6214 are 2, 13,239. Prime factorization of 6214 in exponential form is:

6214 = 21×131×2391

Prime Factorization of 6222


2 6222
3 3111
17 1037
61 61
1

Prime factors of 6222 are 2, 3, 17,61. Prime factorization of 6222 in exponential form is:

6222 = 21×31×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6214 and 6222.

LCM(6214,6222) = 21×31×131×171×611×2391
LCM(6214,6222) = 19331754

Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1, 2, 13, 26, 239, 478, 3107, 6214

Factors of 6222

List of positive integer factors of 6222 that divides 6222 without a remainder.

1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111, 6222

Least Common Multiple of 6214 and 6222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6214 and 6222, than apply into the LCM equation.

GCF(6214,6222) = 2
LCM(6214,6222) = ( 6214 × 6222) / 2
LCM(6214,6222) = 38663508 / 2
LCM(6214,6222) = 19331754

Properties of LCM 6214 and 6222

(i) The LCM of 6222 and 6214 is associative

LCM of 6214 and 6222 = LCM of 6222 and 6214

Related Least Common Multiples of 6214

Related Least Common Multiples of 6222

Frequently Asked Questions on LCM of 6214 and 6222

1. What is the LCM of 6214 and 6222?

Answer: LCM of 6214 and 6222 is 19331754.

2. What are the Factors of 6214?

Answer: Factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214. There are 8 integers that are factors of 6214. The greatest factor of 6214 is 6214.

3. What are the Factors of 6222?

Answer: Factors of 6222 are 1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111, 6222. There are 16 integers that are factors of 6222. The greatest factor of 6222 is 6222.

4. How to Find the LCM of 6214 and 6222?

Answer:

Least Common Multiple of 6214 and 6222 = 19331754

Step 1: Find the prime factorization of 6214

6214 = 2 x 13 x 239

Step 2: Find the prime factorization of 6222

6222 = 2 x 3 x 17 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 = 19331754 = 2 x 3 x 13 x 17 x 61 x 239

Step 4: Therefore, the least common multiple of 6214 and 6222 is 19331754.