Least Common Multiple of 6217 and 6224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6217 and 6224 the smallest integer that is 38694608 that is divisible by both numbers.

Least Common Multiple (LCM) of 6217 and 6224 is 38694608.

LCM(6217,6224) = 38694608

LCM of 6217 and 6224

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

LCM of:
and

Least Common Multiple of 6217 and 6224

LCM of 6217 and 6224 is 38694608

Least common multiple can be found by multiplying the highest exponent prime factors of 6217 and 6224. First we will calculate the prime factors of 6217 and 6224.

Prime Factorization of 6217


6217 6217
1

Prime factors of 6217 are 6217. Prime factorization of 6217 in exponential form is:

6217 = 62171

Prime Factorization of 6224


2 6224
2 3112
2 1556
2 778
389 389
1

Prime factors of 6224 are 2,389. Prime factorization of 6224 in exponential form is:

6224 = 24×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 6217 and 6224.

LCM(6217,6224) = 24×3891×62171
LCM(6217,6224) = 38694608

Factors of 6217

List of positive integer factors of 6217 that divides 6217 without a remainder.

1, 6217

Factors of 6224

List of positive integer factors of 6224 that divides 6224 without a remainder.

1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224

Least Common Multiple of 6217 and 6224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6217 and 6224, than apply into the LCM equation.

GCF(6217,6224) = 1
LCM(6217,6224) = ( 6217 × 6224) / 1
LCM(6217,6224) = 38694608 / 1
LCM(6217,6224) = 38694608

Properties of LCM 6217 and 6224

(i) The LCM of 6224 and 6217 is associative

LCM of 6217 and 6224 = LCM of 6224 and 6217

Related Least Common Multiples of 6217

Related Least Common Multiples of 6224

Frequently Asked Questions on LCM of 6217 and 6224

1. What is the LCM of 6217 and 6224?

Answer: LCM of 6217 and 6224 is 38694608.

2. What are the Factors of 6217?

Answer: Factors of 6217 are 1, 6217. There are 2 integers that are factors of 6217. The greatest factor of 6217 is 6217.

3. What are the Factors of 6224?

Answer: Factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224. There are 10 integers that are factors of 6224. The greatest factor of 6224 is 6224.

4. How to Find the LCM of 6217 and 6224?

Answer:

Least Common Multiple of 6217 and 6224 = 38694608

Step 1: Find the prime factorization of 6217

6217 = 6217

Step 2: Find the prime factorization of 6224

6224 = 2 x 2 x 2 x 2 x 389

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

LCM = 38694608 = 2 x 2 x 2 x 2 x 389 x 6217

Step 4: Therefore, the least common multiple of 6217 and 6224 is 38694608.