Least Common Multiple of 6234 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 6234 and 6235 the smallest integer that is 38868990 that is divisible by both numbers.

Least Common Multiple (LCM) of 6234 and 6235 is 38868990.

LCM(6234,6235) = 38868990

LCM of 6234 and 6235

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

LCM of:
and

Least Common Multiple of 6234 and 6235

LCM of 6234 and 6235 is 38868990

Least common multiple can be found by multiplying the highest exponent prime factors of 6234 and 6235. First we will calculate the prime factors of 6234 and 6235.

Prime Factorization of 6234


2 6234
3 3117
1039 1039
1

Prime factors of 6234 are 2, 3,1039. Prime factorization of 6234 in exponential form is:

6234 = 21×31×10391

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 6234 and 6235.

LCM(6234,6235) = 21×31×51×291×431×10391
LCM(6234,6235) = 38868990

Factors of 6234

List of positive integer factors of 6234 that divides 6234 without a remainder.

1, 2, 3, 6, 1039, 2078, 3117, 6234

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 6234 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 6234 and 6235, than apply into the LCM equation.

GCF(6234,6235) = 1
LCM(6234,6235) = ( 6234 × 6235) / 1
LCM(6234,6235) = 38868990 / 1
LCM(6234,6235) = 38868990

Properties of LCM 6234 and 6235

(i) The LCM of 6235 and 6234 is associative

LCM of 6234 and 6235 = LCM of 6235 and 6234

Related Least Common Multiples of 6234

Related Least Common Multiples of 6235

Frequently Asked Questions on LCM of 6234 and 6235

1. What is the LCM of 6234 and 6235?

Answer: LCM of 6234 and 6235 is 38868990.

2. What are the Factors of 6234?

Answer: Factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234. There are 8 integers that are factors of 6234. The greatest factor of 6234 is 6234.

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 6234 and 6235?

Answer:

Least Common Multiple of 6234 and 6235 = 38868990

Step 1: Find the prime factorization of 6234

6234 = 2 x 3 x 1039

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 = 38868990 = 2 x 3 x 5 x 29 x 43 x 1039

Step 4: Therefore, the least common multiple of 6234 and 6235 is 38868990.