Least Common Multiple of 475 and 482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 475 and 482 the smallest integer that is 228950 that is divisible by both numbers.

Least Common Multiple (LCM) of 475 and 482 is 228950.

LCM(475,482) = 228950

LCM of 475 and 482

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

LCM of:
and

Least Common Multiple of 475 and 482

LCM of 475 and 482 is 228950

Least common multiple can be found by multiplying the highest exponent prime factors of 475 and 482. First we will calculate the prime factors of 475 and 482.

Prime Factorization of 475


5 475
5 95
19 19
1

Prime factors of 475 are 5,19. Prime factorization of 475 in exponential form is:

475 = 52×191

Prime Factorization of 482


2 482
241 241
1

Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:

482 = 21×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 475 and 482.

LCM(475,482) = 21×52×191×2411
LCM(475,482) = 228950

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Least Common Multiple of 475 and 482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 475 and 482, than apply into the LCM equation.

GCF(475,482) = 1
LCM(475,482) = ( 475 × 482) / 1
LCM(475,482) = 228950 / 1
LCM(475,482) = 228950

Properties of LCM 475 and 482

(i) The LCM of 482 and 475 is associative

LCM of 475 and 482 = LCM of 482 and 475

Related Least Common Multiples of 475

Related Least Common Multiples of 482

Frequently Asked Questions on LCM of 475 and 482

1. What is the LCM of 475 and 482?

Answer: LCM of 475 and 482 is 228950.

2. What are the Factors of 475?

Answer: Factors of 475 are 1, 5, 19, 25, 95, 475. There are 6 integers that are factors of 475. The greatest factor of 475 is 475.

3. What are the Factors of 482?

Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.

4. How to Find the LCM of 475 and 482?

Answer:

Least Common Multiple of 475 and 482 = 228950

Step 1: Find the prime factorization of 475

475 = 5 x 5 x 19

Step 2: Find the prime factorization of 482

482 = 2 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 = 228950 = 2 x 5 x 5 x 19 x 241

Step 4: Therefore, the least common multiple of 475 and 482 is 228950.