Least Common Multiple of 6216 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 6216 and 6222 the smallest integer that is 6445992 that is divisible by both numbers.

Least Common Multiple (LCM) of 6216 and 6222 is 6445992.

LCM(6216,6222) = 6445992

LCM of 6216 and 6222

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

LCM of:
and

Least Common Multiple of 6216 and 6222

LCM of 6216 and 6222 is 6445992

Least common multiple can be found by multiplying the highest exponent prime factors of 6216 and 6222. First we will calculate the prime factors of 6216 and 6222.

Prime Factorization of 6216


2 6216
2 3108
2 1554
3 777
7 259
37 37
1

Prime factors of 6216 are 2, 3, 7,37. Prime factorization of 6216 in exponential form is:

6216 = 23×31×71×371

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 6216 and 6222.

LCM(6216,6222) = 23×31×71×171×371×611
LCM(6216,6222) = 6445992

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 56, 74, 84, 111, 148, 168, 222, 259, 296, 444, 518, 777, 888, 1036, 1554, 2072, 3108, 6216

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 6216 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 6216 and 6222, than apply into the LCM equation.

GCF(6216,6222) = 6
LCM(6216,6222) = ( 6216 × 6222) / 6
LCM(6216,6222) = 38675952 / 6
LCM(6216,6222) = 6445992

Properties of LCM 6216 and 6222

(i) The LCM of 6222 and 6216 is associative

LCM of 6216 and 6222 = LCM of 6222 and 6216

Related Least Common Multiples of 6216

Related Least Common Multiples of 6222

Frequently Asked Questions on LCM of 6216 and 6222

1. What is the LCM of 6216 and 6222?

Answer: LCM of 6216 and 6222 is 6445992.

2. What are the Factors of 6216?

Answer: Factors of 6216 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 56, 74, 84, 111, 148, 168, 222, 259, 296, 444, 518, 777, 888, 1036, 1554, 2072, 3108, 6216. There are 32 integers that are factors of 6216. The greatest factor of 6216 is 6216.

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 6216 and 6222?

Answer:

Least Common Multiple of 6216 and 6222 = 6445992

Step 1: Find the prime factorization of 6216

6216 = 2 x 2 x 2 x 3 x 7 x 37

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 = 6445992 = 2 x 2 x 2 x 3 x 7 x 17 x 37 x 61

Step 4: Therefore, the least common multiple of 6216 and 6222 is 6445992.