Least Common Multiple of 473 and 481

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 481 the smallest integer that is 227513 that is divisible by both numbers.

Least Common Multiple (LCM) of 473 and 481 is 227513.

LCM(473,481) = 227513

LCM of 473 and 481

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

LCM of:
and

Least Common Multiple of 473 and 481

LCM of 473 and 481 is 227513

Least common multiple can be found by multiplying the highest exponent prime factors of 473 and 481. First we will calculate the prime factors of 473 and 481.

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 481


13 481
37 37
1

Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:

481 = 131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 473 and 481.

LCM(473,481) = 111×131×371×431
LCM(473,481) = 227513

Factors of 473

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

1, 11, 43, 473

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Least Common Multiple of 473 and 481 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 481, than apply into the LCM equation.

GCF(473,481) = 1
LCM(473,481) = ( 473 × 481) / 1
LCM(473,481) = 227513 / 1
LCM(473,481) = 227513

Properties of LCM 473 and 481

(i) The LCM of 481 and 473 is associative

LCM of 473 and 481 = LCM of 481 and 473

Related Least Common Multiples of 473

Related Least Common Multiples of 481

Frequently Asked Questions on LCM of 473 and 481

1. What is the LCM of 473 and 481?

Answer: LCM of 473 and 481 is 227513.

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 481?

Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.

4. How to Find the LCM of 473 and 481?

Answer:

Least Common Multiple of 473 and 481 = 227513

Step 1: Find the prime factorization of 473

473 = 11 x 43

Step 2: Find the prime factorization of 481

481 = 13 x 37

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

LCM = 227513 = 11 x 13 x 37 x 43

Step 4: Therefore, the least common multiple of 473 and 481 is 227513.