Least Common Multiple of 7471 and 7477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7471 and 7477 the smallest integer that is 55860667 that is divisible by both numbers.

Least Common Multiple (LCM) of 7471 and 7477 is 55860667.

LCM(7471,7477) = 55860667

LCM of 7471 and 7477

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

LCM of:
and

Least Common Multiple of 7471 and 7477

LCM of 7471 and 7477 is 55860667

Least common multiple can be found by multiplying the highest exponent prime factors of 7471 and 7477. First we will calculate the prime factors of 7471 and 7477.

Prime Factorization of 7471


31 7471
241 241
1

Prime factors of 7471 are 31,241. Prime factorization of 7471 in exponential form is:

7471 = 311×2411

Prime Factorization of 7477


7477 7477
1

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

7477 = 74771

Now multiplying the highest exponent prime factors to calculate the LCM of 7471 and 7477.

LCM(7471,7477) = 311×2411×74771
LCM(7471,7477) = 55860667

Factors of 7471

List of positive integer factors of 7471 that divides 7471 without a remainder.

1, 31, 241, 7471

Factors of 7477

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

1, 7477

Least Common Multiple of 7471 and 7477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7471 and 7477, than apply into the LCM equation.

GCF(7471,7477) = 1
LCM(7471,7477) = ( 7471 × 7477) / 1
LCM(7471,7477) = 55860667 / 1
LCM(7471,7477) = 55860667

Properties of LCM 7471 and 7477

(i) The LCM of 7477 and 7471 is associative

LCM of 7471 and 7477 = LCM of 7477 and 7471

Related Least Common Multiples of 7471

Related Least Common Multiples of 7477

Frequently Asked Questions on LCM of 7471 and 7477

1. What is the LCM of 7471 and 7477?

Answer: LCM of 7471 and 7477 is 55860667.

2. What are the Factors of 7471?

Answer: Factors of 7471 are 1, 31, 241, 7471. There are 4 integers that are factors of 7471. The greatest factor of 7471 is 7471.

3. 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.

4. How to Find the LCM of 7471 and 7477?

Answer:

Least Common Multiple of 7471 and 7477 = 55860667

Step 1: Find the prime factorization of 7471

7471 = 31 x 241

Step 2: Find the prime factorization of 7477

7477 = 7477

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

LCM = 55860667 = 31 x 241 x 7477

Step 4: Therefore, the least common multiple of 7471 and 7477 is 55860667.