Least Common Multiple of 7477 and 7481

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 7481 the smallest integer that is 55935437 that is divisible by both numbers.

Least Common Multiple (LCM) of 7477 and 7481 is 55935437.

LCM(7477,7481) = 55935437

LCM of 7477 and 7481

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

LCM of:
and

Least Common Multiple of 7477 and 7481

LCM of 7477 and 7481 is 55935437

Least common multiple can be found by multiplying the highest exponent prime factors of 7477 and 7481. First we will calculate the prime factors of 7477 and 7481.

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 7481


7481 7481
1

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

7481 = 74811

Now multiplying the highest exponent prime factors to calculate the LCM of 7477 and 7481.

LCM(7477,7481) = 74771×74811
LCM(7477,7481) = 55935437

Factors of 7477

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

1, 7477

Factors of 7481

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

1, 7481

Least Common Multiple of 7477 and 7481 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 7481, than apply into the LCM equation.

GCF(7477,7481) = 1
LCM(7477,7481) = ( 7477 × 7481) / 1
LCM(7477,7481) = 55935437 / 1
LCM(7477,7481) = 55935437

Properties of LCM 7477 and 7481

(i) The LCM of 7481 and 7477 is associative

LCM of 7477 and 7481 = LCM of 7481 and 7477

Frequently Asked Questions on LCM of 7477 and 7481

1. What is the LCM of 7477 and 7481?

Answer: LCM of 7477 and 7481 is 55935437.

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 7481?

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

4. How to Find the LCM of 7477 and 7481?

Answer:

Least Common Multiple of 7477 and 7481 = 55935437

Step 1: Find the prime factorization of 7477

7477 = 7477

Step 2: Find the prime factorization of 7481

7481 = 7481

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

LCM = 55935437 = 7477 x 7481

Step 4: Therefore, the least common multiple of 7477 and 7481 is 55935437.