Least Common Multiple of 7440 and 7445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7440 and 7445 the smallest integer that is 11078160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7440 and 7445 is 11078160.

LCM(7440,7445) = 11078160

LCM of 7440 and 7445

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

LCM of:
and

Least Common Multiple of 7440 and 7445

LCM of 7440 and 7445 is 11078160

Least common multiple can be found by multiplying the highest exponent prime factors of 7440 and 7445. First we will calculate the prime factors of 7440 and 7445.

Prime Factorization of 7440


2 7440
2 3720
2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 7440 are 2, 3, 5,31. Prime factorization of 7440 in exponential form is:

7440 = 24×31×51×311

Prime Factorization of 7445


5 7445
1489 1489
1

Prime factors of 7445 are 5,1489. Prime factorization of 7445 in exponential form is:

7445 = 51×14891

Now multiplying the highest exponent prime factors to calculate the LCM of 7440 and 7445.

LCM(7440,7445) = 24×31×51×311×14891
LCM(7440,7445) = 11078160

Factors of 7440

List of positive integer factors of 7440 that divides 7440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440

Factors of 7445

List of positive integer factors of 7445 that divides 7445 without a remainder.

1, 5, 1489, 7445

Least Common Multiple of 7440 and 7445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7440 and 7445, than apply into the LCM equation.

GCF(7440,7445) = 5
LCM(7440,7445) = ( 7440 × 7445) / 5
LCM(7440,7445) = 55390800 / 5
LCM(7440,7445) = 11078160

Properties of LCM 7440 and 7445

(i) The LCM of 7445 and 7440 is associative

LCM of 7440 and 7445 = LCM of 7445 and 7440

Related Least Common Multiples of 7440

Related Least Common Multiples of 7445

Frequently Asked Questions on LCM of 7440 and 7445

1. What is the LCM of 7440 and 7445?

Answer: LCM of 7440 and 7445 is 11078160.

2. What are the Factors of 7440?

Answer: Factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440. There are 40 integers that are factors of 7440. The greatest factor of 7440 is 7440.

3. What are the Factors of 7445?

Answer: Factors of 7445 are 1, 5, 1489, 7445. There are 4 integers that are factors of 7445. The greatest factor of 7445 is 7445.

4. How to Find the LCM of 7440 and 7445?

Answer:

Least Common Multiple of 7440 and 7445 = 11078160

Step 1: Find the prime factorization of 7440

7440 = 2 x 2 x 2 x 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 7445

7445 = 5 x 1489

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

LCM = 11078160 = 2 x 2 x 2 x 2 x 3 x 5 x 31 x 1489

Step 4: Therefore, the least common multiple of 7440 and 7445 is 11078160.