Least Common Multiple of 7445 and 7453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7445 and 7453 the smallest integer that is 55487585 that is divisible by both numbers.

Least Common Multiple (LCM) of 7445 and 7453 is 55487585.

LCM(7445,7453) = 55487585

LCM of 7445 and 7453

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

LCM of:
and

Least Common Multiple of 7445 and 7453

LCM of 7445 and 7453 is 55487585

Least common multiple can be found by multiplying the highest exponent prime factors of 7445 and 7453. First we will calculate the prime factors of 7445 and 7453.

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

Prime Factorization of 7453


29 7453
257 257
1

Prime factors of 7453 are 29,257. Prime factorization of 7453 in exponential form is:

7453 = 291×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7445 and 7453.

LCM(7445,7453) = 51×291×2571×14891
LCM(7445,7453) = 55487585

Factors of 7445

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

1, 5, 1489, 7445

Factors of 7453

List of positive integer factors of 7453 that divides 7453 without a remainder.

1, 29, 257, 7453

Least Common Multiple of 7445 and 7453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7445 and 7453, than apply into the LCM equation.

GCF(7445,7453) = 1
LCM(7445,7453) = ( 7445 × 7453) / 1
LCM(7445,7453) = 55487585 / 1
LCM(7445,7453) = 55487585

Properties of LCM 7445 and 7453

(i) The LCM of 7453 and 7445 is associative

LCM of 7445 and 7453 = LCM of 7453 and 7445

Related Least Common Multiples of 7445

Related Least Common Multiples of 7453

Frequently Asked Questions on LCM of 7445 and 7453

1. What is the LCM of 7445 and 7453?

Answer: LCM of 7445 and 7453 is 55487585.

2. 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.

3. What are the Factors of 7453?

Answer: Factors of 7453 are 1, 29, 257, 7453. There are 4 integers that are factors of 7453. The greatest factor of 7453 is 7453.

4. How to Find the LCM of 7445 and 7453?

Answer:

Least Common Multiple of 7445 and 7453 = 55487585

Step 1: Find the prime factorization of 7445

7445 = 5 x 1489

Step 2: Find the prime factorization of 7453

7453 = 29 x 257

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

LCM = 55487585 = 5 x 29 x 257 x 1489

Step 4: Therefore, the least common multiple of 7445 and 7453 is 55487585.