Least Common Multiple of 6214 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 6214 and 6218 the smallest integer that is 19319326 that is divisible by both numbers.

Least Common Multiple (LCM) of 6214 and 6218 is 19319326.

LCM(6214,6218) = 19319326

LCM of 6214 and 6218

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

LCM of:
and

Least Common Multiple of 6214 and 6218

LCM of 6214 and 6218 is 19319326

Least common multiple can be found by multiplying the highest exponent prime factors of 6214 and 6218. First we will calculate the prime factors of 6214 and 6218.

Prime Factorization of 6214


2 6214
13 3107
239 239
1

Prime factors of 6214 are 2, 13,239. Prime factorization of 6214 in exponential form is:

6214 = 21×131×2391

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 6214 and 6218.

LCM(6214,6218) = 21×131×2391×31091
LCM(6214,6218) = 19319326

Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1, 2, 13, 26, 239, 478, 3107, 6214

Factors of 6218

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

1, 2, 3109, 6218

Least Common Multiple of 6214 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 6214 and 6218, than apply into the LCM equation.

GCF(6214,6218) = 2
LCM(6214,6218) = ( 6214 × 6218) / 2
LCM(6214,6218) = 38638652 / 2
LCM(6214,6218) = 19319326

Properties of LCM 6214 and 6218

(i) The LCM of 6218 and 6214 is associative

LCM of 6214 and 6218 = LCM of 6218 and 6214

Related Least Common Multiples of 6214

Related Least Common Multiples of 6218

Frequently Asked Questions on LCM of 6214 and 6218

1. What is the LCM of 6214 and 6218?

Answer: LCM of 6214 and 6218 is 19319326.

2. What are the Factors of 6214?

Answer: Factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214. There are 8 integers that are factors of 6214. The greatest factor of 6214 is 6214.

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 6214 and 6218?

Answer:

Least Common Multiple of 6214 and 6218 = 19319326

Step 1: Find the prime factorization of 6214

6214 = 2 x 13 x 239

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 = 19319326 = 2 x 13 x 239 x 3109

Step 4: Therefore, the least common multiple of 6214 and 6218 is 19319326.