Least Common Multiple of 6236 and 6237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6236 and 6237 the smallest integer that is 38893932 that is divisible by both numbers.

Least Common Multiple (LCM) of 6236 and 6237 is 38893932.

LCM(6236,6237) = 38893932

LCM of 6236 and 6237

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

LCM of:
and

Least Common Multiple of 6236 and 6237

LCM of 6236 and 6237 is 38893932

Least common multiple can be found by multiplying the highest exponent prime factors of 6236 and 6237. First we will calculate the prime factors of 6236 and 6237.

Prime Factorization of 6236


2 6236
2 3118
1559 1559
1

Prime factors of 6236 are 2,1559. Prime factorization of 6236 in exponential form is:

6236 = 22×15591

Prime Factorization of 6237


3 6237
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 6237 are 3, 7,11. Prime factorization of 6237 in exponential form is:

6237 = 34×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 6236 and 6237.

LCM(6236,6237) = 22×34×71×111×15591
LCM(6236,6237) = 38893932

Factors of 6236

List of positive integer factors of 6236 that divides 6236 without a remainder.

1, 2, 4, 1559, 3118, 6236

Factors of 6237

List of positive integer factors of 6237 that divides 6237 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237

Least Common Multiple of 6236 and 6237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6236 and 6237, than apply into the LCM equation.

GCF(6236,6237) = 1
LCM(6236,6237) = ( 6236 × 6237) / 1
LCM(6236,6237) = 38893932 / 1
LCM(6236,6237) = 38893932

Properties of LCM 6236 and 6237

(i) The LCM of 6237 and 6236 is associative

LCM of 6236 and 6237 = LCM of 6237 and 6236

Related Least Common Multiples of 6236

Related Least Common Multiples of 6237

Frequently Asked Questions on LCM of 6236 and 6237

1. What is the LCM of 6236 and 6237?

Answer: LCM of 6236 and 6237 is 38893932.

2. What are the Factors of 6236?

Answer: Factors of 6236 are 1, 2, 4, 1559, 3118, 6236. There are 6 integers that are factors of 6236. The greatest factor of 6236 is 6236.

3. What are the Factors of 6237?

Answer: Factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237. There are 20 integers that are factors of 6237. The greatest factor of 6237 is 6237.

4. How to Find the LCM of 6236 and 6237?

Answer:

Least Common Multiple of 6236 and 6237 = 38893932

Step 1: Find the prime factorization of 6236

6236 = 2 x 2 x 1559

Step 2: Find the prime factorization of 6237

6237 = 3 x 3 x 3 x 3 x 7 x 11

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

LCM = 38893932 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 x 1559

Step 4: Therefore, the least common multiple of 6236 and 6237 is 38893932.