Least Common Multiple of 7230 and 7238

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 7238 the smallest integer that is 26165370 that is divisible by both numbers.

Least Common Multiple (LCM) of 7230 and 7238 is 26165370.

LCM(7230,7238) = 26165370

LCM of 7230 and 7238

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

LCM of:
and

Least Common Multiple of 7230 and 7238

LCM of 7230 and 7238 is 26165370

Least common multiple can be found by multiplying the highest exponent prime factors of 7230 and 7238. First we will calculate the prime factors of 7230 and 7238.

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 7238


2 7238
7 3619
11 517
47 47
1

Prime factors of 7238 are 2, 7, 11,47. Prime factorization of 7238 in exponential form is:

7238 = 21×71×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7230 and 7238.

LCM(7230,7238) = 21×31×51×71×111×471×2411
LCM(7230,7238) = 26165370

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 7238

List of positive integer factors of 7238 that divides 7238 without a remainder.

1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238

Least Common Multiple of 7230 and 7238 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 7238, than apply into the LCM equation.

GCF(7230,7238) = 2
LCM(7230,7238) = ( 7230 × 7238) / 2
LCM(7230,7238) = 52330740 / 2
LCM(7230,7238) = 26165370

Properties of LCM 7230 and 7238

(i) The LCM of 7238 and 7230 is associative

LCM of 7230 and 7238 = LCM of 7238 and 7230

Related Least Common Multiples of 7230

Related Least Common Multiples of 7238

Frequently Asked Questions on LCM of 7230 and 7238

1. What is the LCM of 7230 and 7238?

Answer: LCM of 7230 and 7238 is 26165370.

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 7238?

Answer: Factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238. There are 16 integers that are factors of 7238. The greatest factor of 7238 is 7238.

4. How to Find the LCM of 7230 and 7238?

Answer:

Least Common Multiple of 7230 and 7238 = 26165370

Step 1: Find the prime factorization of 7230

7230 = 2 x 3 x 5 x 241

Step 2: Find the prime factorization of 7238

7238 = 2 x 7 x 11 x 47

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

LCM = 26165370 = 2 x 3 x 5 x 7 x 11 x 47 x 241

Step 4: Therefore, the least common multiple of 7230 and 7238 is 26165370.