Least Common Multiple of 6208 and 6216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6208 and 6216 the smallest integer that is 4823616 that is divisible by both numbers.

Least Common Multiple (LCM) of 6208 and 6216 is 4823616.

LCM(6208,6216) = 4823616

LCM of 6208 and 6216

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

LCM of:
and

Least Common Multiple of 6208 and 6216

LCM of 6208 and 6216 is 4823616

Least common multiple can be found by multiplying the highest exponent prime factors of 6208 and 6216. First we will calculate the prime factors of 6208 and 6216.

Prime Factorization of 6208


2 6208
2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 6208 are 2,97. Prime factorization of 6208 in exponential form is:

6208 = 26×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6208 and 6216.

LCM(6208,6216) = 26×31×71×371×971
LCM(6208,6216) = 4823616

Factors of 6208

List of positive integer factors of 6208 that divides 6208 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208

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

Least Common Multiple of 6208 and 6216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6208 and 6216, than apply into the LCM equation.

GCF(6208,6216) = 8
LCM(6208,6216) = ( 6208 × 6216) / 8
LCM(6208,6216) = 38588928 / 8
LCM(6208,6216) = 4823616

Properties of LCM 6208 and 6216

(i) The LCM of 6216 and 6208 is associative

LCM of 6208 and 6216 = LCM of 6216 and 6208

Related Least Common Multiples of 6208

Related Least Common Multiples of 6216

Frequently Asked Questions on LCM of 6208 and 6216

1. What is the LCM of 6208 and 6216?

Answer: LCM of 6208 and 6216 is 4823616.

2. What are the Factors of 6208?

Answer: Factors of 6208 are 1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208. There are 14 integers that are factors of 6208. The greatest factor of 6208 is 6208.

3. 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.

4. How to Find the LCM of 6208 and 6216?

Answer:

Least Common Multiple of 6208 and 6216 = 4823616

Step 1: Find the prime factorization of 6208

6208 = 2 x 2 x 2 x 2 x 2 x 2 x 97

Step 2: Find the prime factorization of 6216

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

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

LCM = 4823616 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 37 x 97

Step 4: Therefore, the least common multiple of 6208 and 6216 is 4823616.