Least Common Multiple of 7240 and 7243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7240 and 7243 the smallest integer that is 52439320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7240 and 7243 is 52439320.

LCM(7240,7243) = 52439320

LCM of 7240 and 7243

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

LCM of:
and

Least Common Multiple of 7240 and 7243

LCM of 7240 and 7243 is 52439320

Least common multiple can be found by multiplying the highest exponent prime factors of 7240 and 7243. First we will calculate the prime factors of 7240 and 7243.

Prime Factorization of 7240


2 7240
2 3620
2 1810
5 905
181 181
1

Prime factors of 7240 are 2, 5,181. Prime factorization of 7240 in exponential form is:

7240 = 23×51×1811

Prime Factorization of 7243


7243 7243
1

Prime factors of 7243 are 7243. Prime factorization of 7243 in exponential form is:

7243 = 72431

Now multiplying the highest exponent prime factors to calculate the LCM of 7240 and 7243.

LCM(7240,7243) = 23×51×1811×72431
LCM(7240,7243) = 52439320

Factors of 7240

List of positive integer factors of 7240 that divides 7240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240

Factors of 7243

List of positive integer factors of 7243 that divides 7243 without a remainder.

1, 7243

Least Common Multiple of 7240 and 7243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7240 and 7243, than apply into the LCM equation.

GCF(7240,7243) = 1
LCM(7240,7243) = ( 7240 × 7243) / 1
LCM(7240,7243) = 52439320 / 1
LCM(7240,7243) = 52439320

Properties of LCM 7240 and 7243

(i) The LCM of 7243 and 7240 is associative

LCM of 7240 and 7243 = LCM of 7243 and 7240

Related Least Common Multiples of 7240

Related Least Common Multiples of 7243

Frequently Asked Questions on LCM of 7240 and 7243

1. What is the LCM of 7240 and 7243?

Answer: LCM of 7240 and 7243 is 52439320.

2. What are the Factors of 7240?

Answer: Factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240. There are 16 integers that are factors of 7240. The greatest factor of 7240 is 7240.

3. What are the Factors of 7243?

Answer: Factors of 7243 are 1, 7243. There are 2 integers that are factors of 7243. The greatest factor of 7243 is 7243.

4. How to Find the LCM of 7240 and 7243?

Answer:

Least Common Multiple of 7240 and 7243 = 52439320

Step 1: Find the prime factorization of 7240

7240 = 2 x 2 x 2 x 5 x 181

Step 2: Find the prime factorization of 7243

7243 = 7243

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

LCM = 52439320 = 2 x 2 x 2 x 5 x 181 x 7243

Step 4: Therefore, the least common multiple of 7240 and 7243 is 52439320.