Least Common Multiple of 7230 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 7230 and 7235 the smallest integer that is 10461810 that is divisible by both numbers.

Least Common Multiple (LCM) of 7230 and 7235 is 10461810.

LCM(7230,7235) = 10461810

LCM of 7230 and 7235

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

LCM of:
and

Least Common Multiple of 7230 and 7235

LCM of 7230 and 7235 is 10461810

Least common multiple can be found by multiplying the highest exponent prime factors of 7230 and 7235. First we will calculate the prime factors of 7230 and 7235.

Prime Factorization of 7230


2 7230
3 3615
5 1205
241 241
1

Prime factors of 7230 are 2, 3, 5,241. Prime factorization of 7230 in exponential form is:

7230 = 21×31×51×2411

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 7230 and 7235.

LCM(7230,7235) = 21×31×51×2411×14471
LCM(7230,7235) = 10461810

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230

Factors of 7235

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

1, 5, 1447, 7235

Least Common Multiple of 7230 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 7230 and 7235, than apply into the LCM equation.

GCF(7230,7235) = 5
LCM(7230,7235) = ( 7230 × 7235) / 5
LCM(7230,7235) = 52309050 / 5
LCM(7230,7235) = 10461810

Properties of LCM 7230 and 7235

(i) The LCM of 7235 and 7230 is associative

LCM of 7230 and 7235 = LCM of 7235 and 7230

Related Least Common Multiples of 7230

Related Least Common Multiples of 7235

Frequently Asked Questions on LCM of 7230 and 7235

1. What is the LCM of 7230 and 7235?

Answer: LCM of 7230 and 7235 is 10461810.

2. What are the Factors of 7230?

Answer: Factors of 7230 are 1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230. There are 16 integers that are factors of 7230. The greatest factor of 7230 is 7230.

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 7230 and 7235?

Answer:

Least Common Multiple of 7230 and 7235 = 10461810

Step 1: Find the prime factorization of 7230

7230 = 2 x 3 x 5 x 241

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 = 10461810 = 2 x 3 x 5 x 241 x 1447

Step 4: Therefore, the least common multiple of 7230 and 7235 is 10461810.