Least Common Multiple of 473 and 477

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 477 the smallest integer that is 225621 that is divisible by both numbers.

Least Common Multiple (LCM) of 473 and 477 is 225621.

LCM(473,477) = 225621

LCM of 473 and 477

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

LCM of:
and

Least Common Multiple of 473 and 477

LCM of 473 and 477 is 225621

Least common multiple can be found by multiplying the highest exponent prime factors of 473 and 477. First we will calculate the prime factors of 473 and 477.

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 477


3 477
3 159
53 53
1

Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:

477 = 32×531

Now multiplying the highest exponent prime factors to calculate the LCM of 473 and 477.

LCM(473,477) = 32×111×431×531
LCM(473,477) = 225621

Factors of 473

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

1, 11, 43, 473

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Least Common Multiple of 473 and 477 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 477, than apply into the LCM equation.

GCF(473,477) = 1
LCM(473,477) = ( 473 × 477) / 1
LCM(473,477) = 225621 / 1
LCM(473,477) = 225621

Properties of LCM 473 and 477

(i) The LCM of 477 and 473 is associative

LCM of 473 and 477 = LCM of 477 and 473

Related Least Common Multiples of 473

Related Least Common Multiples of 477

Frequently Asked Questions on LCM of 473 and 477

1. What is the LCM of 473 and 477?

Answer: LCM of 473 and 477 is 225621.

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 477?

Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.

4. How to Find the LCM of 473 and 477?

Answer:

Least Common Multiple of 473 and 477 = 225621

Step 1: Find the prime factorization of 473

473 = 11 x 43

Step 2: Find the prime factorization of 477

477 = 3 x 3 x 53

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

LCM = 225621 = 3 x 3 x 11 x 43 x 53

Step 4: Therefore, the least common multiple of 473 and 477 is 225621.