Least Common Multiple of 7228 and 7234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7228 and 7234 the smallest integer that is 26143676 that is divisible by both numbers.

Least Common Multiple (LCM) of 7228 and 7234 is 26143676.

LCM(7228,7234) = 26143676

LCM of 7228 and 7234

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

LCM of:
and

Least Common Multiple of 7228 and 7234

LCM of 7228 and 7234 is 26143676

Least common multiple can be found by multiplying the highest exponent prime factors of 7228 and 7234. First we will calculate the prime factors of 7228 and 7234.

Prime Factorization of 7228


2 7228
2 3614
13 1807
139 139
1

Prime factors of 7228 are 2, 13,139. Prime factorization of 7228 in exponential form is:

7228 = 22×131×1391

Prime Factorization of 7234


2 7234
3617 3617
1

Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:

7234 = 21×36171

Now multiplying the highest exponent prime factors to calculate the LCM of 7228 and 7234.

LCM(7228,7234) = 22×131×1391×36171
LCM(7228,7234) = 26143676

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228

Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1, 2, 3617, 7234

Least Common Multiple of 7228 and 7234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7228 and 7234, than apply into the LCM equation.

GCF(7228,7234) = 2
LCM(7228,7234) = ( 7228 × 7234) / 2
LCM(7228,7234) = 52287352 / 2
LCM(7228,7234) = 26143676

Properties of LCM 7228 and 7234

(i) The LCM of 7234 and 7228 is associative

LCM of 7228 and 7234 = LCM of 7234 and 7228

Related Least Common Multiples of 7228

Related Least Common Multiples of 7234

Frequently Asked Questions on LCM of 7228 and 7234

1. What is the LCM of 7228 and 7234?

Answer: LCM of 7228 and 7234 is 26143676.

2. What are the Factors of 7228?

Answer: Factors of 7228 are 1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228. There are 12 integers that are factors of 7228. The greatest factor of 7228 is 7228.

3. What are the Factors of 7234?

Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.

4. How to Find the LCM of 7228 and 7234?

Answer:

Least Common Multiple of 7228 and 7234 = 26143676

Step 1: Find the prime factorization of 7228

7228 = 2 x 2 x 13 x 139

Step 2: Find the prime factorization of 7234

7234 = 2 x 3617

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

LCM = 26143676 = 2 x 2 x 13 x 139 x 3617

Step 4: Therefore, the least common multiple of 7228 and 7234 is 26143676.