Least Common Multiple of 6223 and 6231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6223 and 6231 the smallest integer that is 38775513 that is divisible by both numbers.

Least Common Multiple (LCM) of 6223 and 6231 is 38775513.

LCM(6223,6231) = 38775513

LCM of 6223 and 6231

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

LCM of:
and

Least Common Multiple of 6223 and 6231

LCM of 6223 and 6231 is 38775513

Least common multiple can be found by multiplying the highest exponent prime factors of 6223 and 6231. First we will calculate the prime factors of 6223 and 6231.

Prime Factorization of 6223


7 6223
7 889
127 127
1

Prime factors of 6223 are 7,127. Prime factorization of 6223 in exponential form is:

6223 = 72×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6223 and 6231.

LCM(6223,6231) = 31×72×311×671×1271
LCM(6223,6231) = 38775513

Factors of 6223

List of positive integer factors of 6223 that divides 6223 without a remainder.

1, 7, 49, 127, 889, 6223

Factors of 6231

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

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

Least Common Multiple of 6223 and 6231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6223 and 6231, than apply into the LCM equation.

GCF(6223,6231) = 1
LCM(6223,6231) = ( 6223 × 6231) / 1
LCM(6223,6231) = 38775513 / 1
LCM(6223,6231) = 38775513

Properties of LCM 6223 and 6231

(i) The LCM of 6231 and 6223 is associative

LCM of 6223 and 6231 = LCM of 6231 and 6223

Related Least Common Multiples of 6223

Related Least Common Multiples of 6231

Frequently Asked Questions on LCM of 6223 and 6231

1. What is the LCM of 6223 and 6231?

Answer: LCM of 6223 and 6231 is 38775513.

2. What are the Factors of 6223?

Answer: Factors of 6223 are 1, 7, 49, 127, 889, 6223. There are 6 integers that are factors of 6223. The greatest factor of 6223 is 6223.

3. 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.

4. How to Find the LCM of 6223 and 6231?

Answer:

Least Common Multiple of 6223 and 6231 = 38775513

Step 1: Find the prime factorization of 6223

6223 = 7 x 7 x 127

Step 2: Find the prime factorization of 6231

6231 = 3 x 31 x 67

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

LCM = 38775513 = 3 x 7 x 7 x 31 x 67 x 127

Step 4: Therefore, the least common multiple of 6223 and 6231 is 38775513.