Least Common Multiple of 6230 and 6236

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 6236 the smallest integer that is 19425140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6230 and 6236 is 19425140.

LCM(6230,6236) = 19425140

LCM of 6230 and 6236

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

LCM of:
and

Least Common Multiple of 6230 and 6236

LCM of 6230 and 6236 is 19425140

Least common multiple can be found by multiplying the highest exponent prime factors of 6230 and 6236. First we will calculate the prime factors of 6230 and 6236.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6230 and 6236.

LCM(6230,6236) = 22×51×71×891×15591
LCM(6230,6236) = 19425140

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 6236

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

1, 2, 4, 1559, 3118, 6236

Least Common Multiple of 6230 and 6236 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 6236, than apply into the LCM equation.

GCF(6230,6236) = 2
LCM(6230,6236) = ( 6230 × 6236) / 2
LCM(6230,6236) = 38850280 / 2
LCM(6230,6236) = 19425140

Properties of LCM 6230 and 6236

(i) The LCM of 6236 and 6230 is associative

LCM of 6230 and 6236 = LCM of 6236 and 6230

Related Least Common Multiples of 6230

Related Least Common Multiples of 6236

Frequently Asked Questions on LCM of 6230 and 6236

1. What is the LCM of 6230 and 6236?

Answer: LCM of 6230 and 6236 is 19425140.

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 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.

4. How to Find the LCM of 6230 and 6236?

Answer:

Least Common Multiple of 6230 and 6236 = 19425140

Step 1: Find the prime factorization of 6230

6230 = 2 x 5 x 7 x 89

Step 2: Find the prime factorization of 6236

6236 = 2 x 2 x 1559

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

LCM = 19425140 = 2 x 2 x 5 x 7 x 89 x 1559

Step 4: Therefore, the least common multiple of 6230 and 6236 is 19425140.