Least Common Multiple of 7240 and 7245

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 7245 the smallest integer that is 10490760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7240 and 7245 is 10490760.

LCM(7240,7245) = 10490760

LCM of 7240 and 7245

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

LCM of:
and

Least Common Multiple of 7240 and 7245

LCM of 7240 and 7245 is 10490760

Least common multiple can be found by multiplying the highest exponent prime factors of 7240 and 7245. First we will calculate the prime factors of 7240 and 7245.

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 7245


3 7245
3 2415
5 805
7 161
23 23
1

Prime factors of 7245 are 3, 5, 7,23. Prime factorization of 7245 in exponential form is:

7245 = 32×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7240 and 7245.

LCM(7240,7245) = 23×32×51×71×231×1811
LCM(7240,7245) = 10490760

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 7245

List of positive integer factors of 7245 that divides 7245 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245

Least Common Multiple of 7240 and 7245 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 7245, than apply into the LCM equation.

GCF(7240,7245) = 5
LCM(7240,7245) = ( 7240 × 7245) / 5
LCM(7240,7245) = 52453800 / 5
LCM(7240,7245) = 10490760

Properties of LCM 7240 and 7245

(i) The LCM of 7245 and 7240 is associative

LCM of 7240 and 7245 = LCM of 7245 and 7240

Related Least Common Multiples of 7240

Related Least Common Multiples of 7245

Frequently Asked Questions on LCM of 7240 and 7245

1. What is the LCM of 7240 and 7245?

Answer: LCM of 7240 and 7245 is 10490760.

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 7245?

Answer: Factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245. There are 24 integers that are factors of 7245. The greatest factor of 7245 is 7245.

4. How to Find the LCM of 7240 and 7245?

Answer:

Least Common Multiple of 7240 and 7245 = 10490760

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 7245

7245 = 3 x 3 x 5 x 7 x 23

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

LCM = 10490760 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 x 181

Step 4: Therefore, the least common multiple of 7240 and 7245 is 10490760.