Least Common Multiple of 7466 and 7471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7466 and 7471 the smallest integer that is 55778486 that is divisible by both numbers.

Least Common Multiple (LCM) of 7466 and 7471 is 55778486.

LCM(7466,7471) = 55778486

LCM of 7466 and 7471

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

LCM of:
and

Least Common Multiple of 7466 and 7471

LCM of 7466 and 7471 is 55778486

Least common multiple can be found by multiplying the highest exponent prime factors of 7466 and 7471. First we will calculate the prime factors of 7466 and 7471.

Prime Factorization of 7466


2 7466
3733 3733
1

Prime factors of 7466 are 2,3733. Prime factorization of 7466 in exponential form is:

7466 = 21×37331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7466 and 7471.

LCM(7466,7471) = 21×311×2411×37331
LCM(7466,7471) = 55778486

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1, 2, 3733, 7466

Factors of 7471

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

1, 31, 241, 7471

Least Common Multiple of 7466 and 7471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7466 and 7471, than apply into the LCM equation.

GCF(7466,7471) = 1
LCM(7466,7471) = ( 7466 × 7471) / 1
LCM(7466,7471) = 55778486 / 1
LCM(7466,7471) = 55778486

Properties of LCM 7466 and 7471

(i) The LCM of 7471 and 7466 is associative

LCM of 7466 and 7471 = LCM of 7471 and 7466

Related Least Common Multiples of 7466

Related Least Common Multiples of 7471

Frequently Asked Questions on LCM of 7466 and 7471

1. What is the LCM of 7466 and 7471?

Answer: LCM of 7466 and 7471 is 55778486.

2. What are the Factors of 7466?

Answer: Factors of 7466 are 1, 2, 3733, 7466. There are 4 integers that are factors of 7466. The greatest factor of 7466 is 7466.

3. 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.

4. How to Find the LCM of 7466 and 7471?

Answer:

Least Common Multiple of 7466 and 7471 = 55778486

Step 1: Find the prime factorization of 7466

7466 = 2 x 3733

Step 2: Find the prime factorization of 7471

7471 = 31 x 241

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

LCM = 55778486 = 2 x 31 x 241 x 3733

Step 4: Therefore, the least common multiple of 7466 and 7471 is 55778486.