Least Common Multiple of 466 and 471

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 471 the smallest integer that is 219486 that is divisible by both numbers.

Least Common Multiple (LCM) of 466 and 471 is 219486.

LCM(466,471) = 219486

LCM of 466 and 471

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

LCM of:
and

Least Common Multiple of 466 and 471

LCM of 466 and 471 is 219486

Least common multiple can be found by multiplying the highest exponent prime factors of 466 and 471. First we will calculate the prime factors of 466 and 471.

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 471


3 471
157 157
1

Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:

471 = 31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 466 and 471.

LCM(466,471) = 21×31×1571×2331
LCM(466,471) = 219486

Factors of 466

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

1, 2, 233, 466

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Least Common Multiple of 466 and 471 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 471, than apply into the LCM equation.

GCF(466,471) = 1
LCM(466,471) = ( 466 × 471) / 1
LCM(466,471) = 219486 / 1
LCM(466,471) = 219486

Properties of LCM 466 and 471

(i) The LCM of 471 and 466 is associative

LCM of 466 and 471 = LCM of 471 and 466

Related Least Common Multiples of 466

Related Least Common Multiples of 471

Frequently Asked Questions on LCM of 466 and 471

1. What is the LCM of 466 and 471?

Answer: LCM of 466 and 471 is 219486.

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 471?

Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.

4. How to Find the LCM of 466 and 471?

Answer:

Least Common Multiple of 466 and 471 = 219486

Step 1: Find the prime factorization of 466

466 = 2 x 233

Step 2: Find the prime factorization of 471

471 = 3 x 157

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

LCM = 219486 = 2 x 3 x 157 x 233

Step 4: Therefore, the least common multiple of 466 and 471 is 219486.