Least Common Multiple of 7483 and 7491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7483 and 7491 the smallest integer that is 56055153 that is divisible by both numbers.

Least Common Multiple (LCM) of 7483 and 7491 is 56055153.

LCM(7483,7491) = 56055153

LCM of 7483 and 7491

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

LCM of:
and

Least Common Multiple of 7483 and 7491

LCM of 7483 and 7491 is 56055153

Least common multiple can be found by multiplying the highest exponent prime factors of 7483 and 7491. First we will calculate the prime factors of 7483 and 7491.

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

Prime Factorization of 7491


3 7491
11 2497
227 227
1

Prime factors of 7491 are 3, 11,227. Prime factorization of 7491 in exponential form is:

7491 = 31×111×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7483 and 7491.

LCM(7483,7491) = 31×71×111×2271×10691
LCM(7483,7491) = 56055153

Factors of 7483

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

1, 7, 1069, 7483

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1, 3, 11, 33, 227, 681, 2497, 7491

Least Common Multiple of 7483 and 7491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7483 and 7491, than apply into the LCM equation.

GCF(7483,7491) = 1
LCM(7483,7491) = ( 7483 × 7491) / 1
LCM(7483,7491) = 56055153 / 1
LCM(7483,7491) = 56055153

Properties of LCM 7483 and 7491

(i) The LCM of 7491 and 7483 is associative

LCM of 7483 and 7491 = LCM of 7491 and 7483

Related Least Common Multiples of 7483

Related Least Common Multiples of 7491

Frequently Asked Questions on LCM of 7483 and 7491

1. What is the LCM of 7483 and 7491?

Answer: LCM of 7483 and 7491 is 56055153.

2. 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.

3. What are the Factors of 7491?

Answer: Factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491. There are 8 integers that are factors of 7491. The greatest factor of 7491 is 7491.

4. How to Find the LCM of 7483 and 7491?

Answer:

Least Common Multiple of 7483 and 7491 = 56055153

Step 1: Find the prime factorization of 7483

7483 = 7 x 1069

Step 2: Find the prime factorization of 7491

7491 = 3 x 11 x 227

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

LCM = 56055153 = 3 x 7 x 11 x 227 x 1069

Step 4: Therefore, the least common multiple of 7483 and 7491 is 56055153.