Least Common Multiple of 7228 and 7235

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 7235 the smallest integer that is 52294580 that is divisible by both numbers.

Least Common Multiple (LCM) of 7228 and 7235 is 52294580.

LCM(7228,7235) = 52294580

LCM of 7228 and 7235

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

LCM of:
and

Least Common Multiple of 7228 and 7235

LCM of 7228 and 7235 is 52294580

Least common multiple can be found by multiplying the highest exponent prime factors of 7228 and 7235. First we will calculate the prime factors of 7228 and 7235.

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 7235


5 7235
1447 1447
1

Prime factors of 7235 are 5,1447. Prime factorization of 7235 in exponential form is:

7235 = 51×14471

Now multiplying the highest exponent prime factors to calculate the LCM of 7228 and 7235.

LCM(7228,7235) = 22×51×131×1391×14471
LCM(7228,7235) = 52294580

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 7235

List of positive integer factors of 7235 that divides 7235 without a remainder.

1, 5, 1447, 7235

Least Common Multiple of 7228 and 7235 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 7235, than apply into the LCM equation.

GCF(7228,7235) = 1
LCM(7228,7235) = ( 7228 × 7235) / 1
LCM(7228,7235) = 52294580 / 1
LCM(7228,7235) = 52294580

Properties of LCM 7228 and 7235

(i) The LCM of 7235 and 7228 is associative

LCM of 7228 and 7235 = LCM of 7235 and 7228

Related Least Common Multiples of 7228

Related Least Common Multiples of 7235

Frequently Asked Questions on LCM of 7228 and 7235

1. What is the LCM of 7228 and 7235?

Answer: LCM of 7228 and 7235 is 52294580.

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 7235?

Answer: Factors of 7235 are 1, 5, 1447, 7235. There are 4 integers that are factors of 7235. The greatest factor of 7235 is 7235.

4. How to Find the LCM of 7228 and 7235?

Answer:

Least Common Multiple of 7228 and 7235 = 52294580

Step 1: Find the prime factorization of 7228

7228 = 2 x 2 x 13 x 139

Step 2: Find the prime factorization of 7235

7235 = 5 x 1447

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

LCM = 52294580 = 2 x 2 x 5 x 13 x 139 x 1447

Step 4: Therefore, the least common multiple of 7228 and 7235 is 52294580.