Least Common Multiple of 6230 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 6230 and 6235 the smallest integer that is 7768810 that is divisible by both numbers.

Least Common Multiple (LCM) of 6230 and 6235 is 7768810.

LCM(6230,6235) = 7768810

LCM of 6230 and 6235

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

LCM of:
and

Least Common Multiple of 6230 and 6235

LCM of 6230 and 6235 is 7768810

Least common multiple can be found by multiplying the highest exponent prime factors of 6230 and 6235. First we will calculate the prime factors of 6230 and 6235.

Prime Factorization of 6230


2 6230
5 3115
7 623
89 89
1

Prime factors of 6230 are 2, 5, 7,89. Prime factorization of 6230 in exponential form is:

6230 = 21×51×71×891

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 6230 and 6235.

LCM(6230,6235) = 21×51×71×291×431×891
LCM(6230,6235) = 7768810

Factors of 6230

List of positive integer factors of 6230 that divides 6230 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230

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 6230 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 6230 and 6235, than apply into the LCM equation.

GCF(6230,6235) = 5
LCM(6230,6235) = ( 6230 × 6235) / 5
LCM(6230,6235) = 38844050 / 5
LCM(6230,6235) = 7768810

Properties of LCM 6230 and 6235

(i) The LCM of 6235 and 6230 is associative

LCM of 6230 and 6235 = LCM of 6235 and 6230

Related Least Common Multiples of 6230

Related Least Common Multiples of 6235

Frequently Asked Questions on LCM of 6230 and 6235

1. What is the LCM of 6230 and 6235?

Answer: LCM of 6230 and 6235 is 7768810.

2. What are the Factors of 6230?

Answer: Factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230. There are 16 integers that are factors of 6230. The greatest factor of 6230 is 6230.

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 6230 and 6235?

Answer:

Least Common Multiple of 6230 and 6235 = 7768810

Step 1: Find the prime factorization of 6230

6230 = 2 x 5 x 7 x 89

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 = 7768810 = 2 x 5 x 7 x 29 x 43 x 89

Step 4: Therefore, the least common multiple of 6230 and 6235 is 7768810.