Least Common Multiple of 6217 and 6218

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 6218 the smallest integer that is 38657306 that is divisible by both numbers.

Least Common Multiple (LCM) of 6217 and 6218 is 38657306.

LCM(6217,6218) = 38657306

LCM of 6217 and 6218

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

LCM of:
and

Least Common Multiple of 6217 and 6218

LCM of 6217 and 6218 is 38657306

Least common multiple can be found by multiplying the highest exponent prime factors of 6217 and 6218. First we will calculate the prime factors of 6217 and 6218.

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 6218


2 6218
3109 3109
1

Prime factors of 6218 are 2,3109. Prime factorization of 6218 in exponential form is:

6218 = 21×31091

Now multiplying the highest exponent prime factors to calculate the LCM of 6217 and 6218.

LCM(6217,6218) = 21×31091×62171
LCM(6217,6218) = 38657306

Factors of 6217

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

1, 6217

Factors of 6218

List of positive integer factors of 6218 that divides 6218 without a remainder.

1, 2, 3109, 6218

Least Common Multiple of 6217 and 6218 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 6218, than apply into the LCM equation.

GCF(6217,6218) = 1
LCM(6217,6218) = ( 6217 × 6218) / 1
LCM(6217,6218) = 38657306 / 1
LCM(6217,6218) = 38657306

Properties of LCM 6217 and 6218

(i) The LCM of 6218 and 6217 is associative

LCM of 6217 and 6218 = LCM of 6218 and 6217

Related Least Common Multiples of 6217

Related Least Common Multiples of 6218

Frequently Asked Questions on LCM of 6217 and 6218

1. What is the LCM of 6217 and 6218?

Answer: LCM of 6217 and 6218 is 38657306.

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 6218?

Answer: Factors of 6218 are 1, 2, 3109, 6218. There are 4 integers that are factors of 6218. The greatest factor of 6218 is 6218.

4. How to Find the LCM of 6217 and 6218?

Answer:

Least Common Multiple of 6217 and 6218 = 38657306

Step 1: Find the prime factorization of 6217

6217 = 6217

Step 2: Find the prime factorization of 6218

6218 = 2 x 3109

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

LCM = 38657306 = 2 x 3109 x 6217

Step 4: Therefore, the least common multiple of 6217 and 6218 is 38657306.