Least Common Multiple of 7481 and 7487

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 7487 the smallest integer that is 56010247 that is divisible by both numbers.

Least Common Multiple (LCM) of 7481 and 7487 is 56010247.

LCM(7481,7487) = 56010247

LCM of 7481 and 7487

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

LCM of:
and

Least Common Multiple of 7481 and 7487

LCM of 7481 and 7487 is 56010247

Least common multiple can be found by multiplying the highest exponent prime factors of 7481 and 7487. First we will calculate the prime factors of 7481 and 7487.

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 7487


7487 7487
1

Prime factors of 7487 are 7487. Prime factorization of 7487 in exponential form is:

7487 = 74871

Now multiplying the highest exponent prime factors to calculate the LCM of 7481 and 7487.

LCM(7481,7487) = 74811×74871
LCM(7481,7487) = 56010247

Factors of 7481

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

1, 7481

Factors of 7487

List of positive integer factors of 7487 that divides 7487 without a remainder.

1, 7487

Least Common Multiple of 7481 and 7487 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 7487, than apply into the LCM equation.

GCF(7481,7487) = 1
LCM(7481,7487) = ( 7481 × 7487) / 1
LCM(7481,7487) = 56010247 / 1
LCM(7481,7487) = 56010247

Properties of LCM 7481 and 7487

(i) The LCM of 7487 and 7481 is associative

LCM of 7481 and 7487 = LCM of 7487 and 7481

Related Least Common Multiples of 7481

Related Least Common Multiples of 7487

Frequently Asked Questions on LCM of 7481 and 7487

1. What is the LCM of 7481 and 7487?

Answer: LCM of 7481 and 7487 is 56010247.

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 7487?

Answer: Factors of 7487 are 1, 7487. There are 2 integers that are factors of 7487. The greatest factor of 7487 is 7487.

4. How to Find the LCM of 7481 and 7487?

Answer:

Least Common Multiple of 7481 and 7487 = 56010247

Step 1: Find the prime factorization of 7481

7481 = 7481

Step 2: Find the prime factorization of 7487

7487 = 7487

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

LCM = 56010247 = 7481 x 7487

Step 4: Therefore, the least common multiple of 7481 and 7487 is 56010247.