Least Common Multiple of 7228 and 7233

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 7233 the smallest integer that is 52280124 that is divisible by both numbers.

Least Common Multiple (LCM) of 7228 and 7233 is 52280124.

LCM(7228,7233) = 52280124

LCM of 7228 and 7233

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

LCM of:
and

Least Common Multiple of 7228 and 7233

LCM of 7228 and 7233 is 52280124

Least common multiple can be found by multiplying the highest exponent prime factors of 7228 and 7233. First we will calculate the prime factors of 7228 and 7233.

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 7233


3 7233
2411 2411
1

Prime factors of 7233 are 3,2411. Prime factorization of 7233 in exponential form is:

7233 = 31×24111

Now multiplying the highest exponent prime factors to calculate the LCM of 7228 and 7233.

LCM(7228,7233) = 22×31×131×1391×24111
LCM(7228,7233) = 52280124

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 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1, 3, 2411, 7233

Least Common Multiple of 7228 and 7233 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 7233, than apply into the LCM equation.

GCF(7228,7233) = 1
LCM(7228,7233) = ( 7228 × 7233) / 1
LCM(7228,7233) = 52280124 / 1
LCM(7228,7233) = 52280124

Properties of LCM 7228 and 7233

(i) The LCM of 7233 and 7228 is associative

LCM of 7228 and 7233 = LCM of 7233 and 7228

Related Least Common Multiples of 7228

Related Least Common Multiples of 7233

Frequently Asked Questions on LCM of 7228 and 7233

1. What is the LCM of 7228 and 7233?

Answer: LCM of 7228 and 7233 is 52280124.

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 7233?

Answer: Factors of 7233 are 1, 3, 2411, 7233. There are 4 integers that are factors of 7233. The greatest factor of 7233 is 7233.

4. How to Find the LCM of 7228 and 7233?

Answer:

Least Common Multiple of 7228 and 7233 = 52280124

Step 1: Find the prime factorization of 7228

7228 = 2 x 2 x 13 x 139

Step 2: Find the prime factorization of 7233

7233 = 3 x 2411

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

LCM = 52280124 = 2 x 2 x 3 x 13 x 139 x 2411

Step 4: Therefore, the least common multiple of 7228 and 7233 is 52280124.