Least Common Multiple of 7481 and 7485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7481 and 7485 the smallest integer that is 55995285 that is divisible by both numbers.

Least Common Multiple (LCM) of 7481 and 7485 is 55995285.

LCM(7481,7485) = 55995285

LCM of 7481 and 7485

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

LCM of:
and

Least Common Multiple of 7481 and 7485

LCM of 7481 and 7485 is 55995285

Least common multiple can be found by multiplying the highest exponent prime factors of 7481 and 7485. First we will calculate the prime factors of 7481 and 7485.

Prime Factorization of 7481


7481 7481
1

Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:

7481 = 74811

Prime Factorization of 7485


3 7485
5 2495
499 499
1

Prime factors of 7485 are 3, 5,499. Prime factorization of 7485 in exponential form is:

7485 = 31×51×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 7481 and 7485.

LCM(7481,7485) = 31×51×4991×74811
LCM(7481,7485) = 55995285

Factors of 7481

List of positive integer factors of 7481 that divides 7481 without a remainder.

1, 7481

Factors of 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1, 3, 5, 15, 499, 1497, 2495, 7485

Least Common Multiple of 7481 and 7485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7481 and 7485, than apply into the LCM equation.

GCF(7481,7485) = 1
LCM(7481,7485) = ( 7481 × 7485) / 1
LCM(7481,7485) = 55995285 / 1
LCM(7481,7485) = 55995285

Properties of LCM 7481 and 7485

(i) The LCM of 7485 and 7481 is associative

LCM of 7481 and 7485 = LCM of 7485 and 7481

Related Least Common Multiples of 7481

Related Least Common Multiples of 7485

Frequently Asked Questions on LCM of 7481 and 7485

1. What is the LCM of 7481 and 7485?

Answer: LCM of 7481 and 7485 is 55995285.

2. What are the Factors of 7481?

Answer: Factors of 7481 are 1, 7481. There are 2 integers that are factors of 7481. The greatest factor of 7481 is 7481.

3. What are the Factors of 7485?

Answer: Factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485. There are 8 integers that are factors of 7485. The greatest factor of 7485 is 7485.

4. How to Find the LCM of 7481 and 7485?

Answer:

Least Common Multiple of 7481 and 7485 = 55995285

Step 1: Find the prime factorization of 7481

7481 = 7481

Step 2: Find the prime factorization of 7485

7485 = 3 x 5 x 499

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

LCM = 55995285 = 3 x 5 x 499 x 7481

Step 4: Therefore, the least common multiple of 7481 and 7485 is 55995285.