Least Common Multiple of 473 and 475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 473 and 475 the smallest integer that is 224675 that is divisible by both numbers.

Least Common Multiple (LCM) of 473 and 475 is 224675.

LCM(473,475) = 224675

LCM of 473 and 475

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

LCM of:
and

Least Common Multiple of 473 and 475

LCM of 473 and 475 is 224675

Least common multiple can be found by multiplying the highest exponent prime factors of 473 and 475. First we will calculate the prime factors of 473 and 475.

Prime Factorization of 473


11 473
43 43
1

Prime factors of 473 are 11,43. Prime factorization of 473 in exponential form is:

473 = 111×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 473 and 475.

LCM(473,475) = 52×111×191×431
LCM(473,475) = 224675

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Factors of 475

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

1, 5, 19, 25, 95, 475

Least Common Multiple of 473 and 475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 473 and 475, than apply into the LCM equation.

GCF(473,475) = 1
LCM(473,475) = ( 473 × 475) / 1
LCM(473,475) = 224675 / 1
LCM(473,475) = 224675

Properties of LCM 473 and 475

(i) The LCM of 475 and 473 is associative

LCM of 473 and 475 = LCM of 475 and 473

Related Least Common Multiples of 473

Related Least Common Multiples of 475

Frequently Asked Questions on LCM of 473 and 475

1. What is the LCM of 473 and 475?

Answer: LCM of 473 and 475 is 224675.

2. What are the Factors of 473?

Answer: Factors of 473 are 1, 11, 43, 473. There are 4 integers that are factors of 473. The greatest factor of 473 is 473.

3. 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.

4. How to Find the LCM of 473 and 475?

Answer:

Least Common Multiple of 473 and 475 = 224675

Step 1: Find the prime factorization of 473

473 = 11 x 43

Step 2: Find the prime factorization of 475

475 = 5 x 5 x 19

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

LCM = 224675 = 5 x 5 x 11 x 19 x 43

Step 4: Therefore, the least common multiple of 473 and 475 is 224675.