Least Common Multiple of 7471 and 7478

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 7478 the smallest integer that is 55868138 that is divisible by both numbers.

Least Common Multiple (LCM) of 7471 and 7478 is 55868138.

LCM(7471,7478) = 55868138

LCM of 7471 and 7478

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

LCM of:
and

Least Common Multiple of 7471 and 7478

LCM of 7471 and 7478 is 55868138

Least common multiple can be found by multiplying the highest exponent prime factors of 7471 and 7478. First we will calculate the prime factors of 7471 and 7478.

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 7478


2 7478
3739 3739
1

Prime factors of 7478 are 2,3739. Prime factorization of 7478 in exponential form is:

7478 = 21×37391

Now multiplying the highest exponent prime factors to calculate the LCM of 7471 and 7478.

LCM(7471,7478) = 21×311×2411×37391
LCM(7471,7478) = 55868138

Factors of 7471

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

1, 31, 241, 7471

Factors of 7478

List of positive integer factors of 7478 that divides 7478 without a remainder.

1, 2, 3739, 7478

Least Common Multiple of 7471 and 7478 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 7478, than apply into the LCM equation.

GCF(7471,7478) = 1
LCM(7471,7478) = ( 7471 × 7478) / 1
LCM(7471,7478) = 55868138 / 1
LCM(7471,7478) = 55868138

Properties of LCM 7471 and 7478

(i) The LCM of 7478 and 7471 is associative

LCM of 7471 and 7478 = LCM of 7478 and 7471

Related Least Common Multiples of 7471

Related Least Common Multiples of 7478

Frequently Asked Questions on LCM of 7471 and 7478

1. What is the LCM of 7471 and 7478?

Answer: LCM of 7471 and 7478 is 55868138.

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 7478?

Answer: Factors of 7478 are 1, 2, 3739, 7478. There are 4 integers that are factors of 7478. The greatest factor of 7478 is 7478.

4. How to Find the LCM of 7471 and 7478?

Answer:

Least Common Multiple of 7471 and 7478 = 55868138

Step 1: Find the prime factorization of 7471

7471 = 31 x 241

Step 2: Find the prime factorization of 7478

7478 = 2 x 3739

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

LCM = 55868138 = 2 x 31 x 241 x 3739

Step 4: Therefore, the least common multiple of 7471 and 7478 is 55868138.