Least Common Multiple of 6231 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 6231 and 6235 the smallest integer that is 38850285 that is divisible by both numbers.

Least Common Multiple (LCM) of 6231 and 6235 is 38850285.

LCM(6231,6235) = 38850285

LCM of 6231 and 6235

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

LCM of:
and

Least Common Multiple of 6231 and 6235

LCM of 6231 and 6235 is 38850285

Least common multiple can be found by multiplying the highest exponent prime factors of 6231 and 6235. First we will calculate the prime factors of 6231 and 6235.

Prime Factorization of 6231


3 6231
31 2077
67 67
1

Prime factors of 6231 are 3, 31,67. Prime factorization of 6231 in exponential form is:

6231 = 31×311×671

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 6231 and 6235.

LCM(6231,6235) = 31×51×291×311×431×671
LCM(6231,6235) = 38850285

Factors of 6231

List of positive integer factors of 6231 that divides 6231 without a remainder.

1, 3, 31, 67, 93, 201, 2077, 6231

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 6231 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 6231 and 6235, than apply into the LCM equation.

GCF(6231,6235) = 1
LCM(6231,6235) = ( 6231 × 6235) / 1
LCM(6231,6235) = 38850285 / 1
LCM(6231,6235) = 38850285

Properties of LCM 6231 and 6235

(i) The LCM of 6235 and 6231 is associative

LCM of 6231 and 6235 = LCM of 6235 and 6231

Related Least Common Multiples of 6231

Related Least Common Multiples of 6235

Frequently Asked Questions on LCM of 6231 and 6235

1. What is the LCM of 6231 and 6235?

Answer: LCM of 6231 and 6235 is 38850285.

2. What are the Factors of 6231?

Answer: Factors of 6231 are 1, 3, 31, 67, 93, 201, 2077, 6231. There are 8 integers that are factors of 6231. The greatest factor of 6231 is 6231.

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 6231 and 6235?

Answer:

Least Common Multiple of 6231 and 6235 = 38850285

Step 1: Find the prime factorization of 6231

6231 = 3 x 31 x 67

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 = 38850285 = 3 x 5 x 29 x 31 x 43 x 67

Step 4: Therefore, the least common multiple of 6231 and 6235 is 38850285.