Least Common Multiple of 475 and 478

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 478 the smallest integer that is 227050 that is divisible by both numbers.

Least Common Multiple (LCM) of 475 and 478 is 227050.

LCM(475,478) = 227050

LCM of 475 and 478

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

LCM of:
and

Least Common Multiple of 475 and 478

LCM of 475 and 478 is 227050

Least common multiple can be found by multiplying the highest exponent prime factors of 475 and 478. First we will calculate the prime factors of 475 and 478.

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 478


2 478
239 239
1

Prime factors of 478 are 2,239. Prime factorization of 478 in exponential form is:

478 = 21×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 475 and 478.

LCM(475,478) = 21×52×191×2391
LCM(475,478) = 227050

Factors of 475

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

1, 5, 19, 25, 95, 475

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Least Common Multiple of 475 and 478 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 478, than apply into the LCM equation.

GCF(475,478) = 1
LCM(475,478) = ( 475 × 478) / 1
LCM(475,478) = 227050 / 1
LCM(475,478) = 227050

Properties of LCM 475 and 478

(i) The LCM of 478 and 475 is associative

LCM of 475 and 478 = LCM of 478 and 475

Related Least Common Multiples of 475

Related Least Common Multiples of 478

Frequently Asked Questions on LCM of 475 and 478

1. What is the LCM of 475 and 478?

Answer: LCM of 475 and 478 is 227050.

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 478?

Answer: Factors of 478 are 1, 2, 239, 478. There are 4 integers that are factors of 478. The greatest factor of 478 is 478.

4. How to Find the LCM of 475 and 478?

Answer:

Least Common Multiple of 475 and 478 = 227050

Step 1: Find the prime factorization of 475

475 = 5 x 5 x 19

Step 2: Find the prime factorization of 478

478 = 2 x 239

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

LCM = 227050 = 2 x 5 x 5 x 19 x 239

Step 4: Therefore, the least common multiple of 475 and 478 is 227050.