Least Common Multiple of 7477 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 7477 and 7483 the smallest integer that is 55950391 that is divisible by both numbers.

Least Common Multiple (LCM) of 7477 and 7483 is 55950391.

LCM(7477,7483) = 55950391

LCM of 7477 and 7483

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

LCM of:
and

Least Common Multiple of 7477 and 7483

LCM of 7477 and 7483 is 55950391

Least common multiple can be found by multiplying the highest exponent prime factors of 7477 and 7483. First we will calculate the prime factors of 7477 and 7483.

Prime Factorization of 7477


7477 7477
1

Prime factors of 7477 are 7477. Prime factorization of 7477 in exponential form is:

7477 = 74771

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 7477 and 7483.

LCM(7477,7483) = 71×10691×74771
LCM(7477,7483) = 55950391

Factors of 7477

List of positive integer factors of 7477 that divides 7477 without a remainder.

1, 7477

Factors of 7483

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

1, 7, 1069, 7483

Least Common Multiple of 7477 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 7477 and 7483, than apply into the LCM equation.

GCF(7477,7483) = 1
LCM(7477,7483) = ( 7477 × 7483) / 1
LCM(7477,7483) = 55950391 / 1
LCM(7477,7483) = 55950391

Properties of LCM 7477 and 7483

(i) The LCM of 7483 and 7477 is associative

LCM of 7477 and 7483 = LCM of 7483 and 7477

Related Least Common Multiples of 7477

Related Least Common Multiples of 7483

Frequently Asked Questions on LCM of 7477 and 7483

1. What is the LCM of 7477 and 7483?

Answer: LCM of 7477 and 7483 is 55950391.

2. What are the Factors of 7477?

Answer: Factors of 7477 are 1, 7477. There are 2 integers that are factors of 7477. The greatest factor of 7477 is 7477.

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 7477 and 7483?

Answer:

Least Common Multiple of 7477 and 7483 = 55950391

Step 1: Find the prime factorization of 7477

7477 = 7477

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 = 55950391 = 7 x 1069 x 7477

Step 4: Therefore, the least common multiple of 7477 and 7483 is 55950391.