Least Common Multiple of 475 and 483

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 483 the smallest integer that is 229425 that is divisible by both numbers.

Least Common Multiple (LCM) of 475 and 483 is 229425.

LCM(475,483) = 229425

LCM of 475 and 483

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

LCM of:
and

Least Common Multiple of 475 and 483

LCM of 475 and 483 is 229425

Least common multiple can be found by multiplying the highest exponent prime factors of 475 and 483. First we will calculate the prime factors of 475 and 483.

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 483


3 483
7 161
23 23
1

Prime factors of 483 are 3, 7,23. Prime factorization of 483 in exponential form is:

483 = 31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 475 and 483.

LCM(475,483) = 31×52×71×191×231
LCM(475,483) = 229425

Factors of 475

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

1, 5, 19, 25, 95, 475

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Least Common Multiple of 475 and 483 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 483, than apply into the LCM equation.

GCF(475,483) = 1
LCM(475,483) = ( 475 × 483) / 1
LCM(475,483) = 229425 / 1
LCM(475,483) = 229425

Properties of LCM 475 and 483

(i) The LCM of 483 and 475 is associative

LCM of 475 and 483 = LCM of 483 and 475

Related Least Common Multiples of 475

Related Least Common Multiples of 483

Frequently Asked Questions on LCM of 475 and 483

1. What is the LCM of 475 and 483?

Answer: LCM of 475 and 483 is 229425.

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 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

4. How to Find the LCM of 475 and 483?

Answer:

Least Common Multiple of 475 and 483 = 229425

Step 1: Find the prime factorization of 475

475 = 5 x 5 x 19

Step 2: Find the prime factorization of 483

483 = 3 x 7 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 = 229425 = 3 x 5 x 5 x 7 x 19 x 23

Step 4: Therefore, the least common multiple of 475 and 483 is 229425.