Least Common Multiple of 7481 and 7483

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 7483 the smallest integer that is 55980323 that is divisible by both numbers.

Least Common Multiple (LCM) of 7481 and 7483 is 55980323.

LCM(7481,7483) = 55980323

LCM of 7481 and 7483

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

LCM of:
and

Least Common Multiple of 7481 and 7483

LCM of 7481 and 7483 is 55980323

Least common multiple can be found by multiplying the highest exponent prime factors of 7481 and 7483. First we will calculate the prime factors of 7481 and 7483.

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 7483


7 7483
1069 1069
1

Prime factors of 7483 are 7,1069. Prime factorization of 7483 in exponential form is:

7483 = 71×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 7481 and 7483.

LCM(7481,7483) = 71×10691×74811
LCM(7481,7483) = 55980323

Factors of 7481

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

1, 7481

Factors of 7483

List of positive integer factors of 7483 that divides 7483 without a remainder.

1, 7, 1069, 7483

Least Common Multiple of 7481 and 7483 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 7483, than apply into the LCM equation.

GCF(7481,7483) = 1
LCM(7481,7483) = ( 7481 × 7483) / 1
LCM(7481,7483) = 55980323 / 1
LCM(7481,7483) = 55980323

Properties of LCM 7481 and 7483

(i) The LCM of 7483 and 7481 is associative

LCM of 7481 and 7483 = LCM of 7483 and 7481

Related Least Common Multiples of 7481

Related Least Common Multiples of 7483

Frequently Asked Questions on LCM of 7481 and 7483

1. What is the LCM of 7481 and 7483?

Answer: LCM of 7481 and 7483 is 55980323.

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 7483?

Answer: Factors of 7483 are 1, 7, 1069, 7483. There are 4 integers that are factors of 7483. The greatest factor of 7483 is 7483.

4. How to Find the LCM of 7481 and 7483?

Answer:

Least Common Multiple of 7481 and 7483 = 55980323

Step 1: Find the prime factorization of 7481

7481 = 7481

Step 2: Find the prime factorization of 7483

7483 = 7 x 1069

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

LCM = 55980323 = 7 x 1069 x 7481

Step 4: Therefore, the least common multiple of 7481 and 7483 is 55980323.