Least Common Multiple of 6214 and 6220

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 6220 the smallest integer that is 19325540 that is divisible by both numbers.

Least Common Multiple (LCM) of 6214 and 6220 is 19325540.

LCM(6214,6220) = 19325540

LCM of 6214 and 6220

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

LCM of:
and

Least Common Multiple of 6214 and 6220

LCM of 6214 and 6220 is 19325540

Least common multiple can be found by multiplying the highest exponent prime factors of 6214 and 6220. First we will calculate the prime factors of 6214 and 6220.

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 6220


2 6220
2 3110
5 1555
311 311
1

Prime factors of 6220 are 2, 5,311. Prime factorization of 6220 in exponential form is:

6220 = 22×51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 6214 and 6220.

LCM(6214,6220) = 22×51×131×2391×3111
LCM(6214,6220) = 19325540

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 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220

Least Common Multiple of 6214 and 6220 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 6220, than apply into the LCM equation.

GCF(6214,6220) = 2
LCM(6214,6220) = ( 6214 × 6220) / 2
LCM(6214,6220) = 38651080 / 2
LCM(6214,6220) = 19325540

Properties of LCM 6214 and 6220

(i) The LCM of 6220 and 6214 is associative

LCM of 6214 and 6220 = LCM of 6220 and 6214

Related Least Common Multiples of 6214

Related Least Common Multiples of 6220

Frequently Asked Questions on LCM of 6214 and 6220

1. What is the LCM of 6214 and 6220?

Answer: LCM of 6214 and 6220 is 19325540.

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 6220?

Answer: Factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220. There are 12 integers that are factors of 6220. The greatest factor of 6220 is 6220.

4. How to Find the LCM of 6214 and 6220?

Answer:

Least Common Multiple of 6214 and 6220 = 19325540

Step 1: Find the prime factorization of 6214

6214 = 2 x 13 x 239

Step 2: Find the prime factorization of 6220

6220 = 2 x 2 x 5 x 311

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

LCM = 19325540 = 2 x 2 x 5 x 13 x 239 x 311

Step 4: Therefore, the least common multiple of 6214 and 6220 is 19325540.