Least Common Multiple of 6216 and 6223

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 6223 the smallest integer that is 5526024 that is divisible by both numbers.

Least Common Multiple (LCM) of 6216 and 6223 is 5526024.

LCM(6216,6223) = 5526024

LCM of 6216 and 6223

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

LCM of:
and

Least Common Multiple of 6216 and 6223

LCM of 6216 and 6223 is 5526024

Least common multiple can be found by multiplying the highest exponent prime factors of 6216 and 6223. First we will calculate the prime factors of 6216 and 6223.

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 6223


7 6223
7 889
127 127
1

Prime factors of 6223 are 7,127. Prime factorization of 6223 in exponential form is:

6223 = 72×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6216 and 6223.

LCM(6216,6223) = 23×31×72×371×1271
LCM(6216,6223) = 5526024

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 6223

List of positive integer factors of 6223 that divides 6223 without a remainder.

1, 7, 49, 127, 889, 6223

Least Common Multiple of 6216 and 6223 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 6223, than apply into the LCM equation.

GCF(6216,6223) = 7
LCM(6216,6223) = ( 6216 × 6223) / 7
LCM(6216,6223) = 38682168 / 7
LCM(6216,6223) = 5526024

Properties of LCM 6216 and 6223

(i) The LCM of 6223 and 6216 is associative

LCM of 6216 and 6223 = LCM of 6223 and 6216

Related Least Common Multiples of 6216

Related Least Common Multiples of 6223

Frequently Asked Questions on LCM of 6216 and 6223

1. What is the LCM of 6216 and 6223?

Answer: LCM of 6216 and 6223 is 5526024.

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 6223?

Answer: Factors of 6223 are 1, 7, 49, 127, 889, 6223. There are 6 integers that are factors of 6223. The greatest factor of 6223 is 6223.

4. How to Find the LCM of 6216 and 6223?

Answer:

Least Common Multiple of 6216 and 6223 = 5526024

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 6223

6223 = 7 x 7 x 127

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

LCM = 5526024 = 2 x 2 x 2 x 3 x 7 x 7 x 37 x 127

Step 4: Therefore, the least common multiple of 6216 and 6223 is 5526024.