Least Common Multiple of 466 and 473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 466 and 473 the smallest integer that is 220418 that is divisible by both numbers.

Least Common Multiple (LCM) of 466 and 473 is 220418.

LCM(466,473) = 220418

LCM of 466 and 473

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

LCM of:
and

Least Common Multiple of 466 and 473

LCM of 466 and 473 is 220418

Least common multiple can be found by multiplying the highest exponent prime factors of 466 and 473. First we will calculate the prime factors of 466 and 473.

Prime Factorization of 466


2 466
233 233
1

Prime factors of 466 are 2,233. Prime factorization of 466 in exponential form is:

466 = 21×2331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 466 and 473.

LCM(466,473) = 21×111×431×2331
LCM(466,473) = 220418

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Factors of 473

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

1, 11, 43, 473

Least Common Multiple of 466 and 473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 466 and 473, than apply into the LCM equation.

GCF(466,473) = 1
LCM(466,473) = ( 466 × 473) / 1
LCM(466,473) = 220418 / 1
LCM(466,473) = 220418

Properties of LCM 466 and 473

(i) The LCM of 473 and 466 is associative

LCM of 466 and 473 = LCM of 473 and 466

Related Least Common Multiples of 466

Related Least Common Multiples of 473

Frequently Asked Questions on LCM of 466 and 473

1. What is the LCM of 466 and 473?

Answer: LCM of 466 and 473 is 220418.

2. What are the Factors of 466?

Answer: Factors of 466 are 1, 2, 233, 466. There are 4 integers that are factors of 466. The greatest factor of 466 is 466.

3. 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.

4. How to Find the LCM of 466 and 473?

Answer:

Least Common Multiple of 466 and 473 = 220418

Step 1: Find the prime factorization of 466

466 = 2 x 233

Step 2: Find the prime factorization of 473

473 = 11 x 43

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

LCM = 220418 = 2 x 11 x 43 x 233

Step 4: Therefore, the least common multiple of 466 and 473 is 220418.