Least Common Multiple of 6216 and 6221

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 6221 the smallest integer that is 38669736 that is divisible by both numbers.

Least Common Multiple (LCM) of 6216 and 6221 is 38669736.

LCM(6216,6221) = 38669736

LCM of 6216 and 6221

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

LCM of:
and

Least Common Multiple of 6216 and 6221

LCM of 6216 and 6221 is 38669736

Least common multiple can be found by multiplying the highest exponent prime factors of 6216 and 6221. First we will calculate the prime factors of 6216 and 6221.

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 6221


6221 6221
1

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

6221 = 62211

Now multiplying the highest exponent prime factors to calculate the LCM of 6216 and 6221.

LCM(6216,6221) = 23×31×71×371×62211
LCM(6216,6221) = 38669736

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 6221

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

1, 6221

Least Common Multiple of 6216 and 6221 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 6221, than apply into the LCM equation.

GCF(6216,6221) = 1
LCM(6216,6221) = ( 6216 × 6221) / 1
LCM(6216,6221) = 38669736 / 1
LCM(6216,6221) = 38669736

Properties of LCM 6216 and 6221

(i) The LCM of 6221 and 6216 is associative

LCM of 6216 and 6221 = LCM of 6221 and 6216

Related Least Common Multiples of 6216

Related Least Common Multiples of 6221

Frequently Asked Questions on LCM of 6216 and 6221

1. What is the LCM of 6216 and 6221?

Answer: LCM of 6216 and 6221 is 38669736.

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 6221?

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

4. How to Find the LCM of 6216 and 6221?

Answer:

Least Common Multiple of 6216 and 6221 = 38669736

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 6221

6221 = 6221

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

LCM = 38669736 = 2 x 2 x 2 x 3 x 7 x 37 x 6221

Step 4: Therefore, the least common multiple of 6216 and 6221 is 38669736.