Least Common Multiple of 7471 and 7475

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 7475 the smallest integer that is 55845725 that is divisible by both numbers.

Least Common Multiple (LCM) of 7471 and 7475 is 55845725.

LCM(7471,7475) = 55845725

LCM of 7471 and 7475

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

LCM of:
and

Least Common Multiple of 7471 and 7475

LCM of 7471 and 7475 is 55845725

Least common multiple can be found by multiplying the highest exponent prime factors of 7471 and 7475. First we will calculate the prime factors of 7471 and 7475.

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 7475


5 7475
5 1495
13 299
23 23
1

Prime factors of 7475 are 5, 13,23. Prime factorization of 7475 in exponential form is:

7475 = 52×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7471 and 7475.

LCM(7471,7475) = 52×131×231×311×2411
LCM(7471,7475) = 55845725

Factors of 7471

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

1, 31, 241, 7471

Factors of 7475

List of positive integer factors of 7475 that divides 7475 without a remainder.

1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475

Least Common Multiple of 7471 and 7475 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 7475, than apply into the LCM equation.

GCF(7471,7475) = 1
LCM(7471,7475) = ( 7471 × 7475) / 1
LCM(7471,7475) = 55845725 / 1
LCM(7471,7475) = 55845725

Properties of LCM 7471 and 7475

(i) The LCM of 7475 and 7471 is associative

LCM of 7471 and 7475 = LCM of 7475 and 7471

Related Least Common Multiples of 7471

Related Least Common Multiples of 7475

Frequently Asked Questions on LCM of 7471 and 7475

1. What is the LCM of 7471 and 7475?

Answer: LCM of 7471 and 7475 is 55845725.

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 7475?

Answer: Factors of 7475 are 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475. There are 12 integers that are factors of 7475. The greatest factor of 7475 is 7475.

4. How to Find the LCM of 7471 and 7475?

Answer:

Least Common Multiple of 7471 and 7475 = 55845725

Step 1: Find the prime factorization of 7471

7471 = 31 x 241

Step 2: Find the prime factorization of 7475

7475 = 5 x 5 x 13 x 23

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

LCM = 55845725 = 5 x 5 x 13 x 23 x 31 x 241

Step 4: Therefore, the least common multiple of 7471 and 7475 is 55845725.