Least Common Multiple of 6229 and 6235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6229 and 6235 the smallest integer that is 38837815 that is divisible by both numbers.

Least Common Multiple (LCM) of 6229 and 6235 is 38837815.

LCM(6229,6235) = 38837815

LCM of 6229 and 6235

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

LCM of:
and

Least Common Multiple of 6229 and 6235

LCM of 6229 and 6235 is 38837815

Least common multiple can be found by multiplying the highest exponent prime factors of 6229 and 6235. First we will calculate the prime factors of 6229 and 6235.

Prime Factorization of 6229


6229 6229
1

Prime factors of 6229 are 6229. Prime factorization of 6229 in exponential form is:

6229 = 62291

Prime Factorization of 6235


5 6235
29 1247
43 43
1

Prime factors of 6235 are 5, 29,43. Prime factorization of 6235 in exponential form is:

6235 = 51×291×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6229 and 6235.

LCM(6229,6235) = 51×291×431×62291
LCM(6229,6235) = 38837815

Factors of 6229

List of positive integer factors of 6229 that divides 6229 without a remainder.

1, 6229

Factors of 6235

List of positive integer factors of 6235 that divides 6235 without a remainder.

1, 5, 29, 43, 145, 215, 1247, 6235

Least Common Multiple of 6229 and 6235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6229 and 6235, than apply into the LCM equation.

GCF(6229,6235) = 1
LCM(6229,6235) = ( 6229 × 6235) / 1
LCM(6229,6235) = 38837815 / 1
LCM(6229,6235) = 38837815

Properties of LCM 6229 and 6235

(i) The LCM of 6235 and 6229 is associative

LCM of 6229 and 6235 = LCM of 6235 and 6229

Related Least Common Multiples of 6229

Related Least Common Multiples of 6235

Frequently Asked Questions on LCM of 6229 and 6235

1. What is the LCM of 6229 and 6235?

Answer: LCM of 6229 and 6235 is 38837815.

2. What are the Factors of 6229?

Answer: Factors of 6229 are 1, 6229. There are 2 integers that are factors of 6229. The greatest factor of 6229 is 6229.

3. What are the Factors of 6235?

Answer: Factors of 6235 are 1, 5, 29, 43, 145, 215, 1247, 6235. There are 8 integers that are factors of 6235. The greatest factor of 6235 is 6235.

4. How to Find the LCM of 6229 and 6235?

Answer:

Least Common Multiple of 6229 and 6235 = 38837815

Step 1: Find the prime factorization of 6229

6229 = 6229

Step 2: Find the prime factorization of 6235

6235 = 5 x 29 x 43

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

LCM = 38837815 = 5 x 29 x 43 x 6229

Step 4: Therefore, the least common multiple of 6229 and 6235 is 38837815.